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Finding the Third Proportional to 207,908 and 455,304

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Solution

The third proportional to 207,908 and 455,304 is: 997,083.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,908 : 455,304 = 455,304 : x
  2. Step 2: Convert to fraction form
    207,908/455,304 = 455,304/x
  3. Step 3: Cross multiply
    207,908x = 455,304 × 455,304
  4. Step 4: Simplify right side
    207,908x = 207,301,732,416
  5. Step 5: Solve for x
    x = 207,301,732,416/207,908
  6. Step 6: Final answer
    x = 997,083.96

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.