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Finding the Third Proportional to 269,427 and 438,022.50

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Solution

The third proportional to 269,427 and 438,022.50 is: 712,117.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,427 : 438,022.50 = 438,022.50 : x
  2. Step 2: Convert to fraction form
    269,427/438,022.50 = 438,022.50/x
  3. Step 3: Cross multiply
    269,427x = 438,022.50 × 438,022.50
  4. Step 4: Simplify right side
    269,427x = 191,863,710,506.25
  5. Step 5: Solve for x
    x = 191,863,710,506.25/269,427
  6. Step 6: Final answer
    x = 712,117.61

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.