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Finding the Third Proportional to 207,958 and 455,498

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Solution

The third proportional to 207,958 and 455,498 is: 997,693.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,958 : 455,498 = 455,498 : x
  2. Step 2: Convert to fraction form
    207,958/455,498 = 455,498/x
  3. Step 3: Cross multiply
    207,958x = 455,498 × 455,498
  4. Step 4: Simplify right side
    207,958x = 207,478,428,004
  5. Step 5: Solve for x
    x = 207,478,428,004/207,958
  6. Step 6: Final answer
    x = 997,693.90

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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.