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Finding the Third Proportional to 469,668 and 706,662

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Solution

The third proportional to 469,668 and 706,662 is: 1,063,242.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,668 : 706,662 = 706,662 : x
  2. Step 2: Convert to fraction form
    469,668/706,662 = 706,662/x
  3. Step 3: Cross multiply
    469,668x = 706,662 × 706,662
  4. Step 4: Simplify right side
    469,668x = 499,371,182,244
  5. Step 5: Solve for x
    x = 499,371,182,244/469,668
  6. Step 6: Final answer
    x = 1,063,242.93

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.