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Finding the Third Proportional to 425,743.50 and 640,403.75

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Solution

The third proportional to 425,743.50 and 640,403.75 is: 963,295.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    425,743.50 : 640,403.75 = 640,403.75 : x
  2. Step 2: Convert to fraction form
    425,743.50/640,403.75 = 640,403.75/x
  3. Step 3: Cross multiply
    425,743.50x = 640,403.75 × 640,403.75
  4. Step 4: Simplify right side
    425,743.50x = 410,116,963,014.06
  5. Step 5: Solve for x
    x = 410,116,963,014.06/425,743.50
  6. Step 6: Final answer
    x = 963,295.89

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.