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Finding the Third Proportional to 342,260 and 532,057

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Solution

The third proportional to 342,260 and 532,057 is: 827,104.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,260 : 532,057 = 532,057 : x
  2. Step 2: Convert to fraction form
    342,260/532,057 = 532,057/x
  3. Step 3: Cross multiply
    342,260x = 532,057 × 532,057
  4. Step 4: Simplify right side
    342,260x = 283,084,651,249
  5. Step 5: Solve for x
    x = 283,084,651,249/342,260
  6. Step 6: Final answer
    x = 827,104.11

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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.