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Finding the Third Proportional to 331,538 and 715,492

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Solution

The third proportional to 331,538 and 715,492 is: 1,544,102.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,538 : 715,492 = 715,492 : x
  2. Step 2: Convert to fraction form
    331,538/715,492 = 715,492/x
  3. Step 3: Cross multiply
    331,538x = 715,492 × 715,492
  4. Step 4: Simplify right side
    331,538x = 511,928,802,064
  5. Step 5: Solve for x
    x = 511,928,802,064/331,538
  6. Step 6: Final answer
    x = 1,544,102.94

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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.