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Finding the Third Proportional to 305,785.13 and 466,666.31

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Solution

The third proportional to 305,785.13 and 466,666.31 is: 712,191.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,785.13 : 466,666.31 = 466,666.31 : x
  2. Step 2: Convert to fraction form
    305,785.13/466,666.31 = 466,666.31/x
  3. Step 3: Cross multiply
    305,785.13x = 466,666.31 × 466,666.31
  4. Step 4: Simplify right side
    305,785.13x = 217,777,447,222.35
  5. Step 5: Solve for x
    x = 217,777,447,222.35/305,785.13
  6. Step 6: Final answer
    x = 712,191.11

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.