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Finding the Third Proportional to 280,584 and 596,212

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Solution

The third proportional to 280,584 and 596,212 is: 1,266,888.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,584 : 596,212 = 596,212 : x
  2. Step 2: Convert to fraction form
    280,584/596,212 = 596,212/x
  3. Step 3: Cross multiply
    280,584x = 596,212 × 596,212
  4. Step 4: Simplify right side
    280,584x = 355,468,748,944
  5. Step 5: Solve for x
    x = 355,468,748,944/280,584
  6. Step 6: Final answer
    x = 1,266,888.88

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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.