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Finding the Third Proportional to 337,480 and 712,906

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Solution

The third proportional to 337,480 and 712,906 is: 1,505,970.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    337,480 : 712,906 = 712,906 : x
  2. Step 2: Convert to fraction form
    337,480/712,906 = 712,906/x
  3. Step 3: Cross multiply
    337,480x = 712,906 × 712,906
  4. Step 4: Simplify right side
    337,480x = 508,234,964,836
  5. Step 5: Solve for x
    x = 508,234,964,836/337,480
  6. Step 6: Final answer
    x = 1,505,970.62

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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.