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Finding the Third Proportional to 479,780 and 704,102

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Solution

The third proportional to 479,780 and 704,102 is: 1,033,306.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    479,780 : 704,102 = 704,102 : x
  2. Step 2: Convert to fraction form
    479,780/704,102 = 704,102/x
  3. Step 3: Cross multiply
    479,780x = 704,102 × 704,102
  4. Step 4: Simplify right side
    479,780x = 495,759,626,404
  5. Step 5: Solve for x
    x = 495,759,626,404/479,780
  6. Step 6: Final answer
    x = 1,033,306.15

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.