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Finding the Third Proportional to 583,690 and 838,671

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Solution

The third proportional to 583,690 and 838,671 is: 1,205,038.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    583,690 : 838,671 = 838,671 : x
  2. Step 2: Convert to fraction form
    583,690/838,671 = 838,671/x
  3. Step 3: Cross multiply
    583,690x = 838,671 × 838,671
  4. Step 4: Simplify right side
    583,690x = 703,369,046,241
  5. Step 5: Solve for x
    x = 703,369,046,241/583,690
  6. Step 6: Final answer
    x = 1,205,038.71

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.