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Finding the Third Proportional to 579,578 and 763,959

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Solution

The third proportional to 579,578 and 763,959 is: 1,006,997.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    579,578 : 763,959 = 763,959 : x
  2. Step 2: Convert to fraction form
    579,578/763,959 = 763,959/x
  3. Step 3: Cross multiply
    579,578x = 763,959 × 763,959
  4. Step 4: Simplify right side
    579,578x = 583,633,353,681
  5. Step 5: Solve for x
    x = 583,633,353,681/579,578
  6. Step 6: Final answer
    x = 1,006,997.08

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.