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Finding the Third Proportional to 771,610.50 and 1,201,587.75

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Solution

The third proportional to 771,610.50 and 1,201,587.75 is: 1,871,168.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    771,610.50 : 1,201,587.75 = 1,201,587.75 : x
  2. Step 2: Convert to fraction form
    771,610.50/1,201,587.75 = 1,201,587.75/x
  3. Step 3: Cross multiply
    771,610.50x = 1,201,587.75 × 1,201,587.75
  4. Step 4: Simplify right side
    771,610.50x = 1,443,813,120,950.06
  5. Step 5: Solve for x
    x = 1,443,813,120,950.06/771,610.50
  6. Step 6: Final answer
    x = 1,871,168.32

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.