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Finding the Third Proportional to 640,271.25 and 856,426.50

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Solution

The third proportional to 640,271.25 and 856,426.50 is: 1,145,555.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    640,271.25 : 856,426.50 = 856,426.50 : x
  2. Step 2: Convert to fraction form
    640,271.25/856,426.50 = 856,426.50/x
  3. Step 3: Cross multiply
    640,271.25x = 856,426.50 × 856,426.50
  4. Step 4: Simplify right side
    640,271.25x = 733,466,349,902.25
  5. Step 5: Solve for x
    x = 733,466,349,902.25/640,271.25
  6. Step 6: Final answer
    x = 1,145,555.65

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These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.