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Finding the Third Proportional to 297,560 and 654,088

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Solution

The third proportional to 297,560 and 654,088 is: 1,437,797.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,560 : 654,088 = 654,088 : x
  2. Step 2: Convert to fraction form
    297,560/654,088 = 654,088/x
  3. Step 3: Cross multiply
    297,560x = 654,088 × 654,088
  4. Step 4: Simplify right side
    297,560x = 427,831,111,744
  5. Step 5: Solve for x
    x = 427,831,111,744/297,560
  6. Step 6: Final answer
    x = 1,437,797.79

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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.