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Finding the Third Proportional to 344,762 and 731,260

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Solution

The third proportional to 344,762 and 731,260 is: 1,551,044.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    344,762 : 731,260 = 731,260 : x
  2. Step 2: Convert to fraction form
    344,762/731,260 = 731,260/x
  3. Step 3: Cross multiply
    344,762x = 731,260 × 731,260
  4. Step 4: Simplify right side
    344,762x = 534,741,187,600
  5. Step 5: Solve for x
    x = 534,741,187,600/344,762
  6. Step 6: Final answer
    x = 1,551,044.45

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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.