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Finding the Third Proportional to 583,864 and 879,972

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Solution

The third proportional to 583,864 and 879,972 is: 1,326,251.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    583,864 : 879,972 = 879,972 : x
  2. Step 2: Convert to fraction form
    583,864/879,972 = 879,972/x
  3. Step 3: Cross multiply
    583,864x = 879,972 × 879,972
  4. Step 4: Simplify right side
    583,864x = 774,350,720,784
  5. Step 5: Solve for x
    x = 774,350,720,784/583,864
  6. Step 6: Final answer
    x = 1,326,251.87

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.