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Finding the Third Proportional to 287,446.92 and 604,687.92

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Solution

The third proportional to 287,446.92 and 604,687.92 is: 1,272,052.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,446.92 : 604,687.92 = 604,687.92 : x
  2. Step 2: Convert to fraction form
    287,446.92/604,687.92 = 604,687.92/x
  3. Step 3: Cross multiply
    287,446.92x = 604,687.92 × 604,687.92
  4. Step 4: Simplify right side
    287,446.92x = 365,647,482,861.51
  5. Step 5: Solve for x
    x = 365,647,482,861.51/287,446.92
  6. Step 6: Final answer
    x = 1,272,052.18

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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.