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Finding the Third Proportional to 207,784.14 and 454,978.74

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Solution

The third proportional to 207,784.14 and 454,978.74 is: 996,253.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,784.14 : 454,978.74 = 454,978.74 : x
  2. Step 2: Convert to fraction form
    207,784.14/454,978.74 = 454,978.74/x
  3. Step 3: Cross multiply
    207,784.14x = 454,978.74 × 454,978.74
  4. Step 4: Simplify right side
    207,784.14x = 207,005,654,065.26
  5. Step 5: Solve for x
    x = 207,005,654,065.26/207,784.14
  6. Step 6: Final answer
    x = 996,253.38

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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.