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Finding the Third Proportional to 228,210 and 486,952

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Solution

The third proportional to 228,210 and 486,952 is: 1,039,052.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,210 : 486,952 = 486,952 : x
  2. Step 2: Convert to fraction form
    228,210/486,952 = 486,952/x
  3. Step 3: Cross multiply
    228,210x = 486,952 × 486,952
  4. Step 4: Simplify right side
    228,210x = 237,122,250,304
  5. Step 5: Solve for x
    x = 237,122,250,304/228,210
  6. Step 6: Final answer
    x = 1,039,052.85

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.