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Finding the Third Proportional to 268,692 and 586,506

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Solution

The third proportional to 268,692 and 586,506 is: 1,280,236.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,692 : 586,506 = 586,506 : x
  2. Step 2: Convert to fraction form
    268,692/586,506 = 586,506/x
  3. Step 3: Cross multiply
    268,692x = 586,506 × 586,506
  4. Step 4: Simplify right side
    268,692x = 343,989,288,036
  5. Step 5: Solve for x
    x = 343,989,288,036/268,692
  6. Step 6: Final answer
    x = 1,280,236.43

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.