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Finding the Third Proportional to 583,856 and 879,959

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Solution

The third proportional to 583,856 and 879,959 is: 1,326,230.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    583,856 : 879,959 = 879,959 : x
  2. Step 2: Convert to fraction form
    583,856/879,959 = 879,959/x
  3. Step 3: Cross multiply
    583,856x = 879,959 × 879,959
  4. Step 4: Simplify right side
    583,856x = 774,327,841,681
  5. Step 5: Solve for x
    x = 774,327,841,681/583,856
  6. Step 6: Final answer
    x = 1,326,230.85

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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.