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Finding the Third Proportional to 583,638 and 834,597

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Solution

The third proportional to 583,638 and 834,597 is: 1,193,466.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    583,638 : 834,597 = 834,597 : x
  2. Step 2: Convert to fraction form
    583,638/834,597 = 834,597/x
  3. Step 3: Cross multiply
    583,638x = 834,597 × 834,597
  4. Step 4: Simplify right side
    583,638x = 696,552,152,409
  5. Step 5: Solve for x
    x = 696,552,152,409/583,638
  6. Step 6: Final answer
    x = 1,193,466.07

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.