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Finding the Third Proportional to 221,089 and 473,722

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Solution

The third proportional to 221,089 and 473,722 is: 1,015,032.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,089 : 473,722 = 473,722 : x
  2. Step 2: Convert to fraction form
    221,089/473,722 = 473,722/x
  3. Step 3: Cross multiply
    221,089x = 473,722 × 473,722
  4. Step 4: Simplify right side
    221,089x = 224,412,533,284
  5. Step 5: Solve for x
    x = 224,412,533,284/221,089
  6. Step 6: Final answer
    x = 1,015,032.56

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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.