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Finding the Third Proportional to 583,372 and 875,607

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Solution

The third proportional to 583,372 and 875,607 is: 1,314,234.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    583,372 : 875,607 = 875,607 : x
  2. Step 2: Convert to fraction form
    583,372/875,607 = 875,607/x
  3. Step 3: Cross multiply
    583,372x = 875,607 × 875,607
  4. Step 4: Simplify right side
    583,372x = 766,687,618,449
  5. Step 5: Solve for x
    x = 766,687,618,449/583,372
  6. Step 6: Final answer
    x = 1,314,234.52

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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.