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Finding the Third Proportional to 512,107.88 and 791,262

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Solution

The third proportional to 512,107.88 and 791,262 is: 1,222,585.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,107.88 : 791,262 = 791,262 : x
  2. Step 2: Convert to fraction form
    512,107.88/791,262 = 791,262/x
  3. Step 3: Cross multiply
    512,107.88x = 791,262 × 791,262
  4. Step 4: Simplify right side
    512,107.88x = 626,095,552,644
  5. Step 5: Solve for x
    x = 626,095,552,644/512,107.88
  6. Step 6: Final answer
    x = 1,222,585.29

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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.