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Finding the Third Proportional to 420,167.25 and 604,006.88

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Solution

The third proportional to 420,167.25 and 604,006.88 is: 868,283.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,167.25 : 604,006.88 = 604,006.88 : x
  2. Step 2: Convert to fraction form
    420,167.25/604,006.88 = 604,006.88/x
  3. Step 3: Cross multiply
    420,167.25x = 604,006.88 × 604,006.88
  4. Step 4: Simplify right side
    420,167.25x = 364,824,305,047.27
  5. Step 5: Solve for x
    x = 364,824,305,047.27/420,167.25
  6. Step 6: Final answer
    x = 868,283.53

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.