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Finding the Third Proportional to 326,899 and 708,048

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Solution

The third proportional to 326,899 and 708,048 is: 1,533,598.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    326,899 : 708,048 = 708,048 : x
  2. Step 2: Convert to fraction form
    326,899/708,048 = 708,048/x
  3. Step 3: Cross multiply
    326,899x = 708,048 × 708,048
  4. Step 4: Simplify right side
    326,899x = 501,331,970,304
  5. Step 5: Solve for x
    x = 501,331,970,304/326,899
  6. Step 6: Final answer
    x = 1,533,598.97

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.