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Finding the Third Proportional to 342,411.19 and 532,266.75

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Solution

The third proportional to 342,411.19 and 532,266.75 is: 827,390.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,411.19 : 532,266.75 = 532,266.75 : x
  2. Step 2: Convert to fraction form
    342,411.19/532,266.75 = 532,266.75/x
  3. Step 3: Cross multiply
    342,411.19x = 532,266.75 × 532,266.75
  4. Step 4: Simplify right side
    342,411.19x = 283,307,893,155.56
  5. Step 5: Solve for x
    x = 283,307,893,155.56/342,411.19
  6. Step 6: Final answer
    x = 827,390.88

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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.