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Finding the Third Proportional to 221,091 and 473,725

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Solution

The third proportional to 221,091 and 473,725 is: 1,015,036.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,091 : 473,725 = 473,725 : x
  2. Step 2: Convert to fraction form
    221,091/473,725 = 473,725/x
  3. Step 3: Cross multiply
    221,091x = 473,725 × 473,725
  4. Step 4: Simplify right side
    221,091x = 224,415,375,625
  5. Step 5: Solve for x
    x = 224,415,375,625/221,091
  6. Step 6: Final answer
    x = 1,015,036.23

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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.