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Finding the Third Proportional to 301,578.19 and 450,886.50

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Solution

The third proportional to 301,578.19 and 450,886.50 is: 674,115.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,578.19 : 450,886.50 = 450,886.50 : x
  2. Step 2: Convert to fraction form
    301,578.19/450,886.50 = 450,886.50/x
  3. Step 3: Cross multiply
    301,578.19x = 450,886.50 × 450,886.50
  4. Step 4: Simplify right side
    301,578.19x = 203,298,635,882.25
  5. Step 5: Solve for x
    x = 203,298,635,882.25/301,578.19
  6. Step 6: Final answer
    x = 674,115.85

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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.