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Finding the Third Proportional to 221,178 and 473,869

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Solution

The third proportional to 221,178 and 473,869 is: 1,015,253.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,178 : 473,869 = 473,869 : x
  2. Step 2: Convert to fraction form
    221,178/473,869 = 473,869/x
  3. Step 3: Cross multiply
    221,178x = 473,869 × 473,869
  4. Step 4: Simplify right side
    221,178x = 224,551,829,161
  5. Step 5: Solve for x
    x = 224,551,829,161/221,178
  6. Step 6: Final answer
    x = 1,015,253.91

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.