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Finding the Third Proportional to 356,374 and 532,815

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Solution

The third proportional to 356,374 and 532,815 is: 796,612.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,374 : 532,815 = 532,815 : x
  2. Step 2: Convert to fraction form
    356,374/532,815 = 532,815/x
  3. Step 3: Cross multiply
    356,374x = 532,815 × 532,815
  4. Step 4: Simplify right side
    356,374x = 283,891,824,225
  5. Step 5: Solve for x
    x = 283,891,824,225/356,374
  6. Step 6: Final answer
    x = 796,612.05

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.