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Finding the Third Proportional to 423,805 and 640,027.50

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Solution

The third proportional to 423,805 and 640,027.50 is: 966,565.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    423,805 : 640,027.50 = 640,027.50 : x
  2. Step 2: Convert to fraction form
    423,805/640,027.50 = 640,027.50/x
  3. Step 3: Cross multiply
    423,805x = 640,027.50 × 640,027.50
  4. Step 4: Simplify right side
    423,805x = 409,635,200,756.25
  5. Step 5: Solve for x
    x = 409,635,200,756.25/423,805
  6. Step 6: Final answer
    x = 966,565.29

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.