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Finding the Third Proportional to 286,903.13 and 442,698.75

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Solution

The third proportional to 286,903.13 and 442,698.75 is: 683,095.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,903.13 : 442,698.75 = 442,698.75 : x
  2. Step 2: Convert to fraction form
    286,903.13/442,698.75 = 442,698.75/x
  3. Step 3: Cross multiply
    286,903.13x = 442,698.75 × 442,698.75
  4. Step 4: Simplify right side
    286,903.13x = 195,982,183,251.56
  5. Step 5: Solve for x
    x = 195,982,183,251.56/286,903.13
  6. Step 6: Final answer
    x = 683,095.32

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.