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Finding the Third Proportional to 488,997 and 748,024.88

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Solution

The third proportional to 488,997 and 748,024.88 is: 1,144,263.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    488,997 : 748,024.88 = 748,024.88 : x
  2. Step 2: Convert to fraction form
    488,997/748,024.88 = 748,024.88/x
  3. Step 3: Cross multiply
    488,997x = 748,024.88 × 748,024.88
  4. Step 4: Simplify right side
    488,997x = 559,541,213,618.77
  5. Step 5: Solve for x
    x = 559,541,213,618.77/488,997
  6. Step 6: Final answer
    x = 1,144,263.08

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.