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Finding the Third Proportional to 475,129.75 and 1,024,526.50

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Solution

The third proportional to 475,129.75 and 1,024,526.50 is: 2,209,195.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,129.75 : 1,024,526.50 = 1,024,526.50 : x
  2. Step 2: Convert to fraction form
    475,129.75/1,024,526.50 = 1,024,526.50/x
  3. Step 3: Cross multiply
    475,129.75x = 1,024,526.50 × 1,024,526.50
  4. Step 4: Simplify right side
    475,129.75x = 1,049,654,549,202.25
  5. Step 5: Solve for x
    x = 1,049,654,549,202.25/475,129.75
  6. Step 6: Final answer
    x = 2,209,195.59

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.