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Finding the Third Proportional to 218,650 and 471,752

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Solution

The third proportional to 218,650 and 471,752 is: 1,017,836.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,650 : 471,752 = 471,752 : x
  2. Step 2: Convert to fraction form
    218,650/471,752 = 471,752/x
  3. Step 3: Cross multiply
    218,650x = 471,752 × 471,752
  4. Step 4: Simplify right side
    218,650x = 222,549,949,504
  5. Step 5: Solve for x
    x = 222,549,949,504/218,650
  6. Step 6: Final answer
    x = 1,017,836.49

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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.