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Finding the Third Proportional to 269,448 and 586,200

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Solution

The third proportional to 269,448 and 586,200 is: 1,275,312.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,448 : 586,200 = 586,200 : x
  2. Step 2: Convert to fraction form
    269,448/586,200 = 586,200/x
  3. Step 3: Cross multiply
    269,448x = 586,200 × 586,200
  4. Step 4: Simplify right side
    269,448x = 343,630,440,000
  5. Step 5: Solve for x
    x = 343,630,440,000/269,448
  6. Step 6: Final answer
    x = 1,275,312.64

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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.