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Finding the Third Proportional to 448,456.50 and 604,165.50

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Solution

The third proportional to 448,456.50 and 604,165.50 is: 813,938.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    448,456.50 : 604,165.50 = 604,165.50 : x
  2. Step 2: Convert to fraction form
    448,456.50/604,165.50 = 604,165.50/x
  3. Step 3: Cross multiply
    448,456.50x = 604,165.50 × 604,165.50
  4. Step 4: Simplify right side
    448,456.50x = 365,015,951,390.25
  5. Step 5: Solve for x
    x = 365,015,951,390.25/448,456.50
  6. Step 6: Final answer
    x = 813,938.37

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.