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Finding the Third Proportional to 280,620 and 596,295

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Solution

The third proportional to 280,620 and 596,295 is: 1,267,079.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,620 : 596,295 = 596,295 : x
  2. Step 2: Convert to fraction form
    280,620/596,295 = 596,295/x
  3. Step 3: Cross multiply
    280,620x = 596,295 × 596,295
  4. Step 4: Simplify right side
    280,620x = 355,567,727,025
  5. Step 5: Solve for x
    x = 355,567,727,025/280,620
  6. Step 6: Final answer
    x = 1,267,079.06

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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.