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Finding the Third Proportional to 475,621.24 and 736,139.07

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Solution

The third proportional to 475,621.24 and 736,139.07 is: 1,139,353.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,621.24 : 736,139.07 = 736,139.07 : x
  2. Step 2: Convert to fraction form
    475,621.24/736,139.07 = 736,139.07/x
  3. Step 3: Cross multiply
    475,621.24x = 736,139.07 × 736,139.07
  4. Step 4: Simplify right side
    475,621.24x = 541,900,736,591.64
  5. Step 5: Solve for x
    x = 541,900,736,591.64/475,621.24
  6. Step 6: Final answer
    x = 1,139,353.52

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.