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Finding the Third Proportional to 465,660 and 712,023.75

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Solution

The third proportional to 465,660 and 712,023.75 is: 1,088,729.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,660 : 712,023.75 = 712,023.75 : x
  2. Step 2: Convert to fraction form
    465,660/712,023.75 = 712,023.75/x
  3. Step 3: Cross multiply
    465,660x = 712,023.75 × 712,023.75
  4. Step 4: Simplify right side
    465,660x = 506,977,820,564.06
  5. Step 5: Solve for x
    x = 506,977,820,564.06/465,660
  6. Step 6: Final answer
    x = 1,088,729.59

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.