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Finding the Third Proportional to 301,672.50 and 480,187.50

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Solution

The third proportional to 301,672.50 and 480,187.50 is: 764,338.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,672.50 : 480,187.50 = 480,187.50 : x
  2. Step 2: Convert to fraction form
    301,672.50/480,187.50 = 480,187.50/x
  3. Step 3: Cross multiply
    301,672.50x = 480,187.50 × 480,187.50
  4. Step 4: Simplify right side
    301,672.50x = 230,580,035,156.25
  5. Step 5: Solve for x
    x = 230,580,035,156.25/301,672.50
  6. Step 6: Final answer
    x = 764,338.93

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.