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Finding the Third Proportional to 268,464 and 578,959

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Solution

The third proportional to 268,464 and 578,959 is: 1,248,560.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,464 : 578,959 = 578,959 : x
  2. Step 2: Convert to fraction form
    268,464/578,959 = 578,959/x
  3. Step 3: Cross multiply
    268,464x = 578,959 × 578,959
  4. Step 4: Simplify right side
    268,464x = 335,193,523,681
  5. Step 5: Solve for x
    x = 335,193,523,681/268,464
  6. Step 6: Final answer
    x = 1,248,560.42

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.