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Finding the Third Proportional to 297,509 and 654,068

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Solution

The third proportional to 297,509 and 654,068 is: 1,437,956.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,509 : 654,068 = 654,068 : x
  2. Step 2: Convert to fraction form
    297,509/654,068 = 654,068/x
  3. Step 3: Cross multiply
    297,509x = 654,068 × 654,068
  4. Step 4: Simplify right side
    297,509x = 427,804,948,624
  5. Step 5: Solve for x
    x = 427,804,948,624/297,509
  6. Step 6: Final answer
    x = 1,437,956.33

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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.