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Finding the Third Proportional to 340,222.50 and 742,707

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Solution

The third proportional to 340,222.50 and 742,707 is: 1,621,332.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,222.50 : 742,707 = 742,707 : x
  2. Step 2: Convert to fraction form
    340,222.50/742,707 = 742,707/x
  3. Step 3: Cross multiply
    340,222.50x = 742,707 × 742,707
  4. Step 4: Simplify right side
    340,222.50x = 551,613,687,849
  5. Step 5: Solve for x
    x = 551,613,687,849/340,222.50
  6. Step 6: Final answer
    x = 1,621,332.18

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.