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Finding the Third Proportional to 193,561 and 455,461

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Solution

The third proportional to 193,561 and 455,461 is: 1,071,727.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,561 : 455,461 = 455,461 : x
  2. Step 2: Convert to fraction form
    193,561/455,461 = 455,461/x
  3. Step 3: Cross multiply
    193,561x = 455,461 × 455,461
  4. Step 4: Simplify right side
    193,561x = 207,444,722,521
  5. Step 5: Solve for x
    x = 207,444,722,521/193,561
  6. Step 6: Final answer
    x = 1,071,727.89

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.