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Finding the Third Proportional to 342,417 and 532,275.75

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Solution

The third proportional to 342,417 and 532,275.75 is: 827,404.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,417 : 532,275.75 = 532,275.75 : x
  2. Step 2: Convert to fraction form
    342,417/532,275.75 = 532,275.75/x
  3. Step 3: Cross multiply
    342,417x = 532,275.75 × 532,275.75
  4. Step 4: Simplify right side
    342,417x = 283,317,474,038.06
  5. Step 5: Solve for x
    x = 283,317,474,038.06/342,417
  6. Step 6: Final answer
    x = 827,404.81

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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.