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Finding the Third Proportional to 269,956 and 429,046

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Solution

The third proportional to 269,956 and 429,046 is: 681,890.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,956 : 429,046 = 429,046 : x
  2. Step 2: Convert to fraction form
    269,956/429,046 = 429,046/x
  3. Step 3: Cross multiply
    269,956x = 429,046 × 429,046
  4. Step 4: Simplify right side
    269,956x = 184,080,470,116
  5. Step 5: Solve for x
    x = 184,080,470,116/269,956
  6. Step 6: Final answer
    x = 681,890.64

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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.