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Finding the Third Proportional to 478,603 and 740,982.75

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Solution

The third proportional to 478,603 and 740,982.75 is: 1,147,204.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    478,603 : 740,982.75 = 740,982.75 : x
  2. Step 2: Convert to fraction form
    478,603/740,982.75 = 740,982.75/x
  3. Step 3: Cross multiply
    478,603x = 740,982.75 × 740,982.75
  4. Step 4: Simplify right side
    478,603x = 549,055,435,797.56
  5. Step 5: Solve for x
    x = 549,055,435,797.56/478,603
  6. Step 6: Final answer
    x = 1,147,204.33

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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.