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Finding the Third Proportional to 467,268 and 732,048

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Solution

The third proportional to 467,268 and 732,048 is: 1,146,867.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    467,268 : 732,048 = 732,048 : x
  2. Step 2: Convert to fraction form
    467,268/732,048 = 732,048/x
  3. Step 3: Cross multiply
    467,268x = 732,048 × 732,048
  4. Step 4: Simplify right side
    467,268x = 535,894,274,304
  5. Step 5: Solve for x
    x = 535,894,274,304/467,268
  6. Step 6: Final answer
    x = 1,146,867.05

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.