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Finding the Third Proportional to 488,349 and 732,010.50

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Solution

The third proportional to 488,349 and 732,010.50 is: 1,097,246.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    488,349 : 732,010.50 = 732,010.50 : x
  2. Step 2: Convert to fraction form
    488,349/732,010.50 = 732,010.50/x
  3. Step 3: Cross multiply
    488,349x = 732,010.50 × 732,010.50
  4. Step 4: Simplify right side
    488,349x = 535,839,372,110.25
  5. Step 5: Solve for x
    x = 535,839,372,110.25/488,349
  6. Step 6: Final answer
    x = 1,097,246.79

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