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Finding the Third Proportional to 331,543 and 715,502

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Solution

The third proportional to 331,543 and 715,502 is: 1,544,122.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,543 : 715,502 = 715,502 : x
  2. Step 2: Convert to fraction form
    331,543/715,502 = 715,502/x
  3. Step 3: Cross multiply
    331,543x = 715,502 × 715,502
  4. Step 4: Simplify right side
    331,543x = 511,943,112,004
  5. Step 5: Solve for x
    x = 511,943,112,004/331,543
  6. Step 6: Final answer
    x = 1,544,122.82

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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.