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Finding the Third Proportional to 600,396 and 912,979

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Solution

The third proportional to 600,396 and 912,979 is: 1,388,301.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    600,396 : 912,979 = 912,979 : x
  2. Step 2: Convert to fraction form
    600,396/912,979 = 912,979/x
  3. Step 3: Cross multiply
    600,396x = 912,979 × 912,979
  4. Step 4: Simplify right side
    600,396x = 833,530,654,441
  5. Step 5: Solve for x
    x = 833,530,654,441/600,396
  6. Step 6: Final answer
    x = 1,388,301.48

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.