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Finding the Third Proportional to 333,940 and 731,552

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Solution

The third proportional to 333,940 and 731,552 is: 1,602,588.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,940 : 731,552 = 731,552 : x
  2. Step 2: Convert to fraction form
    333,940/731,552 = 731,552/x
  3. Step 3: Cross multiply
    333,940x = 731,552 × 731,552
  4. Step 4: Simplify right side
    333,940x = 535,168,328,704
  5. Step 5: Solve for x
    x = 535,168,328,704/333,940
  6. Step 6: Final answer
    x = 1,602,588.28

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.