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Finding the Third Proportional to 207,442 and 455,044

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Solution

The third proportional to 207,442 and 455,044 is: 998,182.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,442 : 455,044 = 455,044 : x
  2. Step 2: Convert to fraction form
    207,442/455,044 = 455,044/x
  3. Step 3: Cross multiply
    207,442x = 455,044 × 455,044
  4. Step 4: Simplify right side
    207,442x = 207,065,041,936
  5. Step 5: Solve for x
    x = 207,065,041,936/207,442
  6. Step 6: Final answer
    x = 998,182.83

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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.