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Finding the Third Proportional to 583,072 and 876,408

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Solution

The third proportional to 583,072 and 876,408 is: 1,317,317.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    583,072 : 876,408 = 876,408 : x
  2. Step 2: Convert to fraction form
    583,072/876,408 = 876,408/x
  3. Step 3: Cross multiply
    583,072x = 876,408 × 876,408
  4. Step 4: Simplify right side
    583,072x = 768,090,982,464
  5. Step 5: Solve for x
    x = 768,090,982,464/583,072
  6. Step 6: Final answer
    x = 1,317,317.56

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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.