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Finding the Third Proportional to 193,497 and 455,304

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Solution

The third proportional to 193,497 and 455,304 is: 1,071,343.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,497 : 455,304 = 455,304 : x
  2. Step 2: Convert to fraction form
    193,497/455,304 = 455,304/x
  3. Step 3: Cross multiply
    193,497x = 455,304 × 455,304
  4. Step 4: Simplify right side
    193,497x = 207,301,732,416
  5. Step 5: Solve for x
    x = 207,301,732,416/193,497
  6. Step 6: Final answer
    x = 1,071,343.39

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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.