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Finding the Third Proportional to 301,799.25 and 452,734.88

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Solution

The third proportional to 301,799.25 and 452,734.88 is: 679,156.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,799.25 : 452,734.88 = 452,734.88 : x
  2. Step 2: Convert to fraction form
    301,799.25/452,734.88 = 452,734.88/x
  3. Step 3: Cross multiply
    301,799.25x = 452,734.88 × 452,734.88
  4. Step 4: Simplify right side
    301,799.25x = 204,968,867,041.27
  5. Step 5: Solve for x
    x = 204,968,867,041.27/301,799.25
  6. Step 6: Final answer
    x = 679,156.32

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.