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Finding the Third Proportional to 506,294 and 712,069

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Solution

The third proportional to 506,294 and 712,069 is: 1,001,477.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,294 : 712,069 = 712,069 : x
  2. Step 2: Convert to fraction form
    506,294/712,069 = 712,069/x
  3. Step 3: Cross multiply
    506,294x = 712,069 × 712,069
  4. Step 4: Simplify right side
    506,294x = 507,042,260,761
  5. Step 5: Solve for x
    x = 507,042,260,761/506,294
  6. Step 6: Final answer
    x = 1,001,477.92

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.