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Finding the Third Proportional to 410,251.50 and 886,113

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Solution

The third proportional to 410,251.50 and 886,113 is: 1,913,938.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,251.50 : 886,113 = 886,113 : x
  2. Step 2: Convert to fraction form
    410,251.50/886,113 = 886,113/x
  3. Step 3: Cross multiply
    410,251.50x = 886,113 × 886,113
  4. Step 4: Simplify right side
    410,251.50x = 785,196,248,769
  5. Step 5: Solve for x
    x = 785,196,248,769/410,251.50
  6. Step 6: Final answer
    x = 1,913,938.76

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.