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Finding the Third Proportional to 342,046.13 and 529,675.88

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Solution

The third proportional to 342,046.13 and 529,675.88 is: 820,230.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,046.13 : 529,675.88 = 529,675.88 : x
  2. Step 2: Convert to fraction form
    342,046.13/529,675.88 = 529,675.88/x
  3. Step 3: Cross multiply
    342,046.13x = 529,675.88 × 529,675.88
  4. Step 4: Simplify right side
    342,046.13x = 280,556,532,557.02
  5. Step 5: Solve for x
    x = 280,556,532,557.02/342,046.13
  6. Step 6: Final answer
    x = 820,230.12

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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.