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Finding the Third Proportional to 432,490.50 and 928,950.75

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Solution

The third proportional to 432,490.50 and 928,950.75 is: 1,995,302.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,490.50 : 928,950.75 = 928,950.75 : x
  2. Step 2: Convert to fraction form
    432,490.50/928,950.75 = 928,950.75/x
  3. Step 3: Cross multiply
    432,490.50x = 928,950.75 × 928,950.75
  4. Step 4: Simplify right side
    432,490.50x = 862,949,495,925.56
  5. Step 5: Solve for x
    x = 862,949,495,925.56/432,490.50
  6. Step 6: Final answer
    x = 1,995,302.78

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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.