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Finding the Third Proportional to 583,380 and 875,619

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Solution

The third proportional to 583,380 and 875,619 is: 1,314,252.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    583,380 : 875,619 = 875,619 : x
  2. Step 2: Convert to fraction form
    583,380/875,619 = 875,619/x
  3. Step 3: Cross multiply
    583,380x = 875,619 × 875,619
  4. Step 4: Simplify right side
    583,380x = 766,708,633,161
  5. Step 5: Solve for x
    x = 766,708,633,161/583,380
  6. Step 6: Final answer
    x = 1,314,252.52

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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.