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Finding the Third Proportional to 433,766.25 and 932,728.50

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Solution

The third proportional to 433,766.25 and 932,728.50 is: 2,005,648.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    433,766.25 : 932,728.50 = 932,728.50 : x
  2. Step 2: Convert to fraction form
    433,766.25/932,728.50 = 932,728.50/x
  3. Step 3: Cross multiply
    433,766.25x = 932,728.50 × 932,728.50
  4. Step 4: Simplify right side
    433,766.25x = 869,982,454,712.25
  5. Step 5: Solve for x
    x = 869,982,454,712.25/433,766.25
  6. Step 6: Final answer
    x = 2,005,648.10

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Why These Related Problems?

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