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Finding the Third Proportional to 268,814 and 586,820

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Solution

The third proportional to 268,814 and 586,820 is: 1,281,025.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,814 : 586,820 = 586,820 : x
  2. Step 2: Convert to fraction form
    268,814/586,820 = 586,820/x
  3. Step 3: Cross multiply
    268,814x = 586,820 × 586,820
  4. Step 4: Simplify right side
    268,814x = 344,357,712,400
  5. Step 5: Solve for x
    x = 344,357,712,400/268,814
  6. Step 6: Final answer
    x = 1,281,025.96

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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.