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Finding the Third Proportional to 367,716 and 759,048

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Solution

The third proportional to 367,716 and 759,048 is: 1,566,844.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,716 : 759,048 = 759,048 : x
  2. Step 2: Convert to fraction form
    367,716/759,048 = 759,048/x
  3. Step 3: Cross multiply
    367,716x = 759,048 × 759,048
  4. Step 4: Simplify right side
    367,716x = 576,153,866,304
  5. Step 5: Solve for x
    x = 576,153,866,304/367,716
  6. Step 6: Final answer
    x = 1,566,844.70

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.