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Finding the Third Proportional to 280,586 and 596,216

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Solution

The third proportional to 280,586 and 596,216 is: 1,266,896.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,586 : 596,216 = 596,216 : x
  2. Step 2: Convert to fraction form
    280,586/596,216 = 596,216/x
  3. Step 3: Cross multiply
    280,586x = 596,216 × 596,216
  4. Step 4: Simplify right side
    280,586x = 355,473,518,656
  5. Step 5: Solve for x
    x = 355,473,518,656/280,586
  6. Step 6: Final answer
    x = 1,266,896.85

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.