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Finding the Third Proportional to 457,620 and 700,048

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Solution

The third proportional to 457,620 and 700,048 is: 1,070,904.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,620 : 700,048 = 700,048 : x
  2. Step 2: Convert to fraction form
    457,620/700,048 = 700,048/x
  3. Step 3: Cross multiply
    457,620x = 700,048 × 700,048
  4. Step 4: Simplify right side
    457,620x = 490,067,202,304
  5. Step 5: Solve for x
    x = 490,067,202,304/457,620
  6. Step 6: Final answer
    x = 1,070,904.25

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.