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Finding the Third Proportional to 342,913.13 and 533,053.69

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Solution

The third proportional to 342,913.13 and 533,053.69 is: 828,624.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,913.13 : 533,053.69 = 533,053.69 : x
  2. Step 2: Convert to fraction form
    342,913.13/533,053.69 = 533,053.69/x
  3. Step 3: Cross multiply
    342,913.13x = 533,053.69 × 533,053.69
  4. Step 4: Simplify right side
    342,913.13x = 284,146,233,757.35
  5. Step 5: Solve for x
    x = 284,146,233,757.35/342,913.13
  6. Step 6: Final answer
    x = 828,624.55

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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.