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Finding the Third Proportional to 583,374 and 875,610

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Solution

The third proportional to 583,374 and 875,610 is: 1,314,239.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    583,374 : 875,610 = 875,610 : x
  2. Step 2: Convert to fraction form
    583,374/875,610 = 875,610/x
  3. Step 3: Cross multiply
    583,374x = 875,610 × 875,610
  4. Step 4: Simplify right side
    583,374x = 766,692,872,100
  5. Step 5: Solve for x
    x = 766,692,872,100/583,374
  6. Step 6: Final answer
    x = 1,314,239.02

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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.