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Finding the Third Proportional to 478,378.50 and 740,247.75

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Solution

The third proportional to 478,378.50 and 740,247.75 is: 1,145,466.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    478,378.50 : 740,247.75 = 740,247.75 : x
  2. Step 2: Convert to fraction form
    478,378.50/740,247.75 = 740,247.75/x
  3. Step 3: Cross multiply
    478,378.50x = 740,247.75 × 740,247.75
  4. Step 4: Simplify right side
    478,378.50x = 547,966,731,380.06
  5. Step 5: Solve for x
    x = 547,966,731,380.06/478,378.50
  6. Step 6: Final answer
    x = 1,145,466.89

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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.