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Finding the Third Proportional to 331,706 and 715,466

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Solution

The third proportional to 331,706 and 715,466 is: 1,543,208.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,706 : 715,466 = 715,466 : x
  2. Step 2: Convert to fraction form
    331,706/715,466 = 715,466/x
  3. Step 3: Cross multiply
    331,706x = 715,466 × 715,466
  4. Step 4: Simplify right side
    331,706x = 511,891,597,156
  5. Step 5: Solve for x
    x = 511,891,597,156/331,706
  6. Step 6: Final answer
    x = 1,543,208.74

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.