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Finding the Third Proportional to 337,512 and 712,957

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Solution

The third proportional to 337,512 and 712,957 is: 1,506,043.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    337,512 : 712,957 = 712,957 : x
  2. Step 2: Convert to fraction form
    337,512/712,957 = 712,957/x
  3. Step 3: Cross multiply
    337,512x = 712,957 × 712,957
  4. Step 4: Simplify right side
    337,512x = 508,307,683,849
  5. Step 5: Solve for x
    x = 508,307,683,849/337,512
  6. Step 6: Final answer
    x = 1,506,043.29

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.