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Finding the Third Proportional to 242,717 and 532,090

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Solution

The third proportional to 242,717 and 532,090 is: 1,166,460.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,717 : 532,090 = 532,090 : x
  2. Step 2: Convert to fraction form
    242,717/532,090 = 532,090/x
  3. Step 3: Cross multiply
    242,717x = 532,090 × 532,090
  4. Step 4: Simplify right side
    242,717x = 283,119,768,100
  5. Step 5: Solve for x
    x = 283,119,768,100/242,717
  6. Step 6: Final answer
    x = 1,166,460.40

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.