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Finding the Third Proportional to 249,847 and 328,026

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Solution

The third proportional to 249,847 and 328,026 is: 430,667.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,847 : 328,026 = 328,026 : x
  2. Step 2: Convert to fraction form
    249,847/328,026 = 328,026/x
  3. Step 3: Cross multiply
    249,847x = 328,026 × 328,026
  4. Step 4: Simplify right side
    249,847x = 107,601,056,676
  5. Step 5: Solve for x
    x = 107,601,056,676/249,847
  6. Step 6: Final answer
    x = 430,667.80

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.