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Finding the Third Proportional to 287,717.06 and 435,574.13

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Solution

The third proportional to 287,717.06 and 435,574.13 is: 659,414.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,717.06 : 435,574.13 = 435,574.13 : x
  2. Step 2: Convert to fraction form
    287,717.06/435,574.13 = 435,574.13/x
  3. Step 3: Cross multiply
    287,717.06x = 435,574.13 × 435,574.13
  4. Step 4: Simplify right side
    287,717.06x = 189,724,818,369.52
  5. Step 5: Solve for x
    x = 189,724,818,369.52/287,717.06
  6. Step 6: Final answer
    x = 659,414.55

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.