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Finding the Third Proportional to 287,150.06 and 422,432.72

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Solution

The third proportional to 287,150.06 and 422,432.72 is: 621,449.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,150.06 : 422,432.72 = 422,432.72 : x
  2. Step 2: Convert to fraction form
    287,150.06/422,432.72 = 422,432.72/x
  3. Step 3: Cross multiply
    287,150.06x = 422,432.72 × 422,432.72
  4. Step 4: Simplify right side
    287,150.06x = 178,449,401,870.52
  5. Step 5: Solve for x
    x = 178,449,401,870.52/287,150.06
  6. Step 6: Final answer
    x = 621,449.98

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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.