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Finding the Third Proportional to 445,504 and 731,362

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Solution

The third proportional to 445,504 and 731,362 is: 1,200,641.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    445,504 : 731,362 = 731,362 : x
  2. Step 2: Convert to fraction form
    445,504/731,362 = 731,362/x
  3. Step 3: Cross multiply
    445,504x = 731,362 × 731,362
  4. Step 4: Simplify right side
    445,504x = 534,890,375,044
  5. Step 5: Solve for x
    x = 534,890,375,044/445,504
  6. Step 6: Final answer
    x = 1,200,641.02

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Why These Related Problems?

These problems maintain the same ratio (1.64) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.