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Finding the Third Proportional to 245,197.13 and 527,966.23

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Solution

The third proportional to 245,197.13 and 527,966.23 is: 1,136,833.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    245,197.13 : 527,966.23 = 527,966.23 : x
  2. Step 2: Convert to fraction form
    245,197.13/527,966.23 = 527,966.23/x
  3. Step 3: Cross multiply
    245,197.13x = 527,966.23 × 527,966.23
  4. Step 4: Simplify right side
    245,197.13x = 278,748,336,390.65
  5. Step 5: Solve for x
    x = 278,748,336,390.65/245,197.13
  6. Step 6: Final answer
    x = 1,136,833.62

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.