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Finding the Third Proportional to 582,164 and 875,408

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Solution

The third proportional to 582,164 and 875,408 is: 1,316,363.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    582,164 : 875,408 = 875,408 : x
  2. Step 2: Convert to fraction form
    582,164/875,408 = 875,408/x
  3. Step 3: Cross multiply
    582,164x = 875,408 × 875,408
  4. Step 4: Simplify right side
    582,164x = 766,339,166,464
  5. Step 5: Solve for x
    x = 766,339,166,464/582,164
  6. Step 6: Final answer
    x = 1,316,363.03

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.