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Finding the Third Proportional to 207,464 and 455,102

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Solution

The third proportional to 207,464 and 455,102 is: 998,331.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,464 : 455,102 = 455,102 : x
  2. Step 2: Convert to fraction form
    207,464/455,102 = 455,102/x
  3. Step 3: Cross multiply
    207,464x = 455,102 × 455,102
  4. Step 4: Simplify right side
    207,464x = 207,117,830,404
  5. Step 5: Solve for x
    x = 207,117,830,404/207,464
  6. Step 6: Final answer
    x = 998,331.42

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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.