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Finding the Third Proportional to 566,676 and 855,470.25

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Solution

The third proportional to 566,676 and 855,470.25 is: 1,291,442.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    566,676 : 855,470.25 = 855,470.25 : x
  2. Step 2: Convert to fraction form
    566,676/855,470.25 = 855,470.25/x
  3. Step 3: Cross multiply
    566,676x = 855,470.25 × 855,470.25
  4. Step 4: Simplify right side
    566,676x = 731,829,348,635.06
  5. Step 5: Solve for x
    x = 731,829,348,635.06/566,676
  6. Step 6: Final answer
    x = 1,291,442.29

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.