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Finding the Third Proportional to 337,473 and 712,893

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Solution

The third proportional to 337,473 and 712,893 is: 1,505,946.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    337,473 : 712,893 = 712,893 : x
  2. Step 2: Convert to fraction form
    337,473/712,893 = 712,893/x
  3. Step 3: Cross multiply
    337,473x = 712,893 × 712,893
  4. Step 4: Simplify right side
    337,473x = 508,216,429,449
  5. Step 5: Solve for x
    x = 508,216,429,449/337,473
  6. Step 6: Final answer
    x = 1,505,946.93

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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.