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Finding the Third Proportional to 435,487 and 640,415.75

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Solution

The third proportional to 435,487 and 640,415.75 is: 941,778.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    435,487 : 640,415.75 = 640,415.75 : x
  2. Step 2: Convert to fraction form
    435,487/640,415.75 = 640,415.75/x
  3. Step 3: Cross multiply
    435,487x = 640,415.75 × 640,415.75
  4. Step 4: Simplify right side
    435,487x = 410,132,332,848.06
  5. Step 5: Solve for x
    x = 410,132,332,848.06/435,487
  6. Step 6: Final answer
    x = 941,778.59

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.