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Finding the Third Proportional to 285,849 and 420,210

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Solution

The third proportional to 285,849 and 420,210 is: 617,726.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,849 : 420,210 = 420,210 : x
  2. Step 2: Convert to fraction form
    285,849/420,210 = 420,210/x
  3. Step 3: Cross multiply
    285,849x = 420,210 × 420,210
  4. Step 4: Simplify right side
    285,849x = 176,576,444,100
  5. Step 5: Solve for x
    x = 176,576,444,100/285,849
  6. Step 6: Final answer
    x = 617,726.30

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.