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Finding the Third Proportional to 488,351 and 732,013

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Solution

The third proportional to 488,351 and 732,013 is: 1,097,249.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    488,351 : 732,013 = 732,013 : x
  2. Step 2: Convert to fraction form
    488,351/732,013 = 732,013/x
  3. Step 3: Cross multiply
    488,351x = 732,013 × 732,013
  4. Step 4: Simplify right side
    488,351x = 535,843,032,169
  5. Step 5: Solve for x
    x = 535,843,032,169/488,351
  6. Step 6: Final answer
    x = 1,097,249.79

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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.