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Finding the Third Proportional to 488,089.13 and 1,057,630.50

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Solution

The third proportional to 488,089.13 and 1,057,630.50 is: 2,291,758.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    488,089.13 : 1,057,630.50 = 1,057,630.50 : x
  2. Step 2: Convert to fraction form
    488,089.13/1,057,630.50 = 1,057,630.50/x
  3. Step 3: Cross multiply
    488,089.13x = 1,057,630.50 × 1,057,630.50
  4. Step 4: Simplify right side
    488,089.13x = 1,118,582,274,530.25
  5. Step 5: Solve for x
    x = 1,118,582,274,530.25/488,089.13
  6. Step 6: Final answer
    x = 2,291,758.24

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.