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Finding the Third Proportional to 297,477.56 and 654,004.13

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Solution

The third proportional to 297,477.56 and 654,004.13 is: 1,437,827.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,477.56 : 654,004.13 = 654,004.13 : x
  2. Step 2: Convert to fraction form
    297,477.56/654,004.13 = 654,004.13/x
  3. Step 3: Cross multiply
    297,477.56x = 654,004.13 × 654,004.13
  4. Step 4: Simplify right side
    297,477.56x = 427,721,395,517.02
  5. Step 5: Solve for x
    x = 427,721,395,517.02/297,477.56
  6. Step 6: Final answer
    x = 1,437,827.42

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Why These Related Problems?

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