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Finding the Third Proportional to 475,659 and 736,668

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Solution

The third proportional to 475,659 and 736,668 is: 1,140,900.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,659 : 736,668 = 736,668 : x
  2. Step 2: Convert to fraction form
    475,659/736,668 = 736,668/x
  3. Step 3: Cross multiply
    475,659x = 736,668 × 736,668
  4. Step 4: Simplify right side
    475,659x = 542,679,742,224
  5. Step 5: Solve for x
    x = 542,679,742,224/475,659
  6. Step 6: Final answer
    x = 1,140,900.82

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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.