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Finding the Third Proportional to 287,132.50 and 422,767.50

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Solution

The third proportional to 287,132.50 and 422,767.50 is: 622,473.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,132.50 : 422,767.50 = 422,767.50 : x
  2. Step 2: Convert to fraction form
    287,132.50/422,767.50 = 422,767.50/x
  3. Step 3: Cross multiply
    287,132.50x = 422,767.50 × 422,767.50
  4. Step 4: Simplify right side
    287,132.50x = 178,732,359,056.25
  5. Step 5: Solve for x
    x = 178,732,359,056.25/287,132.50
  6. Step 6: Final answer
    x = 622,473.45

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.