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Finding the Third Proportional to 337,978 and 723,931

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Solution

The third proportional to 337,978 and 723,931 is: 1,550,621.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    337,978 : 723,931 = 723,931 : x
  2. Step 2: Convert to fraction form
    337,978/723,931 = 723,931/x
  3. Step 3: Cross multiply
    337,978x = 723,931 × 723,931
  4. Step 4: Simplify right side
    337,978x = 524,076,092,761
  5. Step 5: Solve for x
    x = 524,076,092,761/337,978
  6. Step 6: Final answer
    x = 1,550,621.91

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.