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Finding the Third Proportional to 508,656.75 and 747,675.75

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Solution

The third proportional to 508,656.75 and 747,675.75 is: 1,099,010.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    508,656.75 : 747,675.75 = 747,675.75 : x
  2. Step 2: Convert to fraction form
    508,656.75/747,675.75 = 747,675.75/x
  3. Step 3: Cross multiply
    508,656.75x = 747,675.75 × 747,675.75
  4. Step 4: Simplify right side
    508,656.75x = 559,019,027,138.06
  5. Step 5: Solve for x
    x = 559,019,027,138.06/508,656.75
  6. Step 6: Final answer
    x = 1,099,010.34

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.