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Finding the Third Proportional to 337,064 and 715,681

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Solution

The third proportional to 337,064 and 715,681 is: 1,519,590.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    337,064 : 715,681 = 715,681 : x
  2. Step 2: Convert to fraction form
    337,064/715,681 = 715,681/x
  3. Step 3: Cross multiply
    337,064x = 715,681 × 715,681
  4. Step 4: Simplify right side
    337,064x = 512,199,293,761
  5. Step 5: Solve for x
    x = 512,199,293,761/337,064
  6. Step 6: Final answer
    x = 1,519,590.62

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.