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Finding the Third Proportional to 380,734.59 and 571,176.56

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Solution

The third proportional to 380,734.59 and 571,176.56 is: 856,876.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,734.59 : 571,176.56 = 571,176.56 : x
  2. Step 2: Convert to fraction form
    380,734.59/571,176.56 = 571,176.56/x
  3. Step 3: Cross multiply
    380,734.59x = 571,176.56 × 571,176.56
  4. Step 4: Simplify right side
    380,734.59x = 326,242,665,549.32
  5. Step 5: Solve for x
    x = 326,242,665,549.32/380,734.59
  6. Step 6: Final answer
    x = 856,876.87

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.