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Finding the Third Proportional to 304,775 and 700,942

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Solution

The third proportional to 304,775 and 700,942 is: 1,612,073.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,775 : 700,942 = 700,942 : x
  2. Step 2: Convert to fraction form
    304,775/700,942 = 700,942/x
  3. Step 3: Cross multiply
    304,775x = 700,942 × 700,942
  4. Step 4: Simplify right side
    304,775x = 491,319,687,364
  5. Step 5: Solve for x
    x = 491,319,687,364/304,775
  6. Step 6: Final answer
    x = 1,612,073.46

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Why These Related Problems?

These problems maintain the same ratio (2.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.