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Finding the Third Proportional to 300,217.50 and 464,352

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Solution

The third proportional to 300,217.50 and 464,352 is: 718,221.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,217.50 : 464,352 = 464,352 : x
  2. Step 2: Convert to fraction form
    300,217.50/464,352 = 464,352/x
  3. Step 3: Cross multiply
    300,217.50x = 464,352 × 464,352
  4. Step 4: Simplify right side
    300,217.50x = 215,622,779,904
  5. Step 5: Solve for x
    x = 215,622,779,904/300,217.50
  6. Step 6: Final answer
    x = 718,221.89

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.