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Finding the Third Proportional to 297,624 and 654,216

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Solution

The third proportional to 297,624 and 654,216 is: 1,438,051.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,624 : 654,216 = 654,216 : x
  2. Step 2: Convert to fraction form
    297,624/654,216 = 654,216/x
  3. Step 3: Cross multiply
    297,624x = 654,216 × 654,216
  4. Step 4: Simplify right side
    297,624x = 427,998,574,656
  5. Step 5: Solve for x
    x = 427,998,574,656/297,624
  6. Step 6: Final answer
    x = 1,438,051.28

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.