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Finding the Third Proportional to 488,165 and 730,479

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Solution

The third proportional to 488,165 and 730,479 is: 1,093,072.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    488,165 : 730,479 = 730,479 : x
  2. Step 2: Convert to fraction form
    488,165/730,479 = 730,479/x
  3. Step 3: Cross multiply
    488,165x = 730,479 × 730,479
  4. Step 4: Simplify right side
    488,165x = 533,599,569,441
  5. Step 5: Solve for x
    x = 533,599,569,441/488,165
  6. Step 6: Final answer
    x = 1,093,072.16

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.