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Finding the Third Proportional to 269,988 and 429,094

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Solution

The third proportional to 269,988 and 429,094 is: 681,962.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,988 : 429,094 = 429,094 : x
  2. Step 2: Convert to fraction form
    269,988/429,094 = 429,094/x
  3. Step 3: Cross multiply
    269,988x = 429,094 × 429,094
  4. Step 4: Simplify right side
    269,988x = 184,121,660,836
  5. Step 5: Solve for x
    x = 184,121,660,836/269,988
  6. Step 6: Final answer
    x = 681,962.39

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.