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Finding the Third Proportional to 432,513 and 928,957.50

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Solution

The third proportional to 432,513 and 928,957.50 is: 1,995,227.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,513 : 928,957.50 = 928,957.50 : x
  2. Step 2: Convert to fraction form
    432,513/928,957.50 = 928,957.50/x
  3. Step 3: Cross multiply
    432,513x = 928,957.50 × 928,957.50
  4. Step 4: Simplify right side
    432,513x = 862,962,036,806.25
  5. Step 5: Solve for x
    x = 862,962,036,806.25/432,513
  6. Step 6: Final answer
    x = 1,995,227.97

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