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Finding the Third Proportional to 519,270,373.50 and 742,508,402.25

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Solution

The third proportional to 519,270,373.50 and 742,508,402.25 is: 1,061,718,048.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,270,373.50 : 742,508,402.25 = 742,508,402.25 : x
  2. Step 2: Convert to fraction form
    519,270,373.50/742,508,402.25 = 742,508,402.25/x
  3. Step 3: Cross multiply
    519,270,373.50x = 742,508,402.25 × 742,508,402.25
  4. Step 4: Simplify right side
    519,270,373.50x = 551,318,727,411,847,808
  5. Step 5: Solve for x
    x = 551,318,727,411,847,808/519,270,373.50
  6. Step 6: Final answer
    x = 1,061,718,048.14

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.