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Finding the Third Proportional to 268,715 and 586,552

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Solution

The third proportional to 268,715 and 586,552 is: 1,280,327.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,715 : 586,552 = 586,552 : x
  2. Step 2: Convert to fraction form
    268,715/586,552 = 586,552/x
  3. Step 3: Cross multiply
    268,715x = 586,552 × 586,552
  4. Step 4: Simplify right side
    268,715x = 344,043,248,704
  5. Step 5: Solve for x
    x = 344,043,248,704/268,715
  6. Step 6: Final answer
    x = 1,280,327.67

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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.