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Finding the Third Proportional to 337,894 and 731,556

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Solution

The third proportional to 337,894 and 731,556 is: 1,583,852.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    337,894 : 731,556 = 731,556 : x
  2. Step 2: Convert to fraction form
    337,894/731,556 = 731,556/x
  3. Step 3: Cross multiply
    337,894x = 731,556 × 731,556
  4. Step 4: Simplify right side
    337,894x = 535,174,181,136
  5. Step 5: Solve for x
    x = 535,174,181,136/337,894
  6. Step 6: Final answer
    x = 1,583,852.28

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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.