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Finding the Third Proportional to 218,962 and 473,906

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Solution

The third proportional to 218,962 and 473,906 is: 1,025,688.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,962 : 473,906 = 473,906 : x
  2. Step 2: Convert to fraction form
    218,962/473,906 = 473,906/x
  3. Step 3: Cross multiply
    218,962x = 473,906 × 473,906
  4. Step 4: Simplify right side
    218,962x = 224,586,896,836
  5. Step 5: Solve for x
    x = 224,586,896,836/218,962
  6. Step 6: Final answer
    x = 1,025,688.92

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.