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Finding the Third Proportional to 288,634 and 429,872

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Solution

The third proportional to 288,634 and 429,872 is: 640,222.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,634 : 429,872 = 429,872 : x
  2. Step 2: Convert to fraction form
    288,634/429,872 = 429,872/x
  3. Step 3: Cross multiply
    288,634x = 429,872 × 429,872
  4. Step 4: Simplify right side
    288,634x = 184,789,936,384
  5. Step 5: Solve for x
    x = 184,789,936,384/288,634
  6. Step 6: Final answer
    x = 640,222.35

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.