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Finding the Third Proportional to 287,593.50 and 604,934.25

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Solution

The third proportional to 287,593.50 and 604,934.25 is: 1,272,439.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,593.50 : 604,934.25 = 604,934.25 : x
  2. Step 2: Convert to fraction form
    287,593.50/604,934.25 = 604,934.25/x
  3. Step 3: Cross multiply
    287,593.50x = 604,934.25 × 604,934.25
  4. Step 4: Simplify right side
    287,593.50x = 365,945,446,823.06
  5. Step 5: Solve for x
    x = 365,945,446,823.06/287,593.50
  6. Step 6: Final answer
    x = 1,272,439.91

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.