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Finding the Third Proportional to 425,699 and 640,336

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Solution

The third proportional to 425,699 and 640,336 is: 963,192.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    425,699 : 640,336 = 640,336 : x
  2. Step 2: Convert to fraction form
    425,699/640,336 = 640,336/x
  3. Step 3: Cross multiply
    425,699x = 640,336 × 640,336
  4. Step 4: Simplify right side
    425,699x = 410,030,192,896
  5. Step 5: Solve for x
    x = 410,030,192,896/425,699
  6. Step 6: Final answer
    x = 963,192.76

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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.