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Finding the Third Proportional to 297,648 and 654,557.63

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Solution

The third proportional to 297,648 and 654,557.63 is: 1,439,437.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,648 : 654,557.63 = 654,557.63 : x
  2. Step 2: Convert to fraction form
    297,648/654,557.63 = 654,557.63/x
  3. Step 3: Cross multiply
    297,648x = 654,557.63 × 654,557.63
  4. Step 4: Simplify right side
    297,648x = 428,445,684,445.64
  5. Step 5: Solve for x
    x = 428,445,684,445.64/297,648
  6. Step 6: Final answer
    x = 1,439,437.47

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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.