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Finding the Third Proportional to 393,424 and 857,986.50

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Solution

The third proportional to 393,424 and 857,986.50 is: 1,871,113.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,424 : 857,986.50 = 857,986.50 : x
  2. Step 2: Convert to fraction form
    393,424/857,986.50 = 857,986.50/x
  3. Step 3: Cross multiply
    393,424x = 857,986.50 × 857,986.50
  4. Step 4: Simplify right side
    393,424x = 736,140,834,182.25
  5. Step 5: Solve for x
    x = 736,140,834,182.25/393,424
  6. Step 6: Final answer
    x = 1,871,113.19

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.