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Finding the Third Proportional to 301,482 and 743,377.50

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Solution

The third proportional to 301,482 and 743,377.50 is: 1,832,978.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,482 : 743,377.50 = 743,377.50 : x
  2. Step 2: Convert to fraction form
    301,482/743,377.50 = 743,377.50/x
  3. Step 3: Cross multiply
    301,482x = 743,377.50 × 743,377.50
  4. Step 4: Simplify right side
    301,482x = 552,610,107,506.25
  5. Step 5: Solve for x
    x = 552,610,107,506.25/301,482
  6. Step 6: Final answer
    x = 1,832,978.78

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These problems maintain the same ratio (2.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.