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Finding the Third Proportional to 361,077.12 and 558,812.67

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Solution

The third proportional to 361,077.12 and 558,812.67 is: 864,833.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,077.12 : 558,812.67 = 558,812.67 : x
  2. Step 2: Convert to fraction form
    361,077.12/558,812.67 = 558,812.67/x
  3. Step 3: Cross multiply
    361,077.12x = 558,812.67 × 558,812.67
  4. Step 4: Simplify right side
    361,077.12x = 312,271,602,248.08
  5. Step 5: Solve for x
    x = 312,271,602,248.08/361,077.12
  6. Step 6: Final answer
    x = 864,833.54

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.