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Finding the Third Proportional to 479,768 and 704,100

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Solution

The third proportional to 479,768 and 704,100 is: 1,033,326.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    479,768 : 704,100 = 704,100 : x
  2. Step 2: Convert to fraction form
    479,768/704,100 = 704,100/x
  3. Step 3: Cross multiply
    479,768x = 704,100 × 704,100
  4. Step 4: Simplify right side
    479,768x = 495,756,810,000
  5. Step 5: Solve for x
    x = 495,756,810,000/479,768
  6. Step 6: Final answer
    x = 1,033,326.13

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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.