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Finding the Third Proportional to 337,910 and 731,586

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Solution

The third proportional to 337,910 and 731,586 is: 1,583,907.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    337,910 : 731,586 = 731,586 : x
  2. Step 2: Convert to fraction form
    337,910/731,586 = 731,586/x
  3. Step 3: Cross multiply
    337,910x = 731,586 × 731,586
  4. Step 4: Simplify right side
    337,910x = 535,218,075,396
  5. Step 5: Solve for x
    x = 535,218,075,396/337,910
  6. Step 6: Final answer
    x = 1,583,907.18

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.