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Finding the Third Proportional to 252,862.50 and 537,906

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Solution

The third proportional to 252,862.50 and 537,906 is: 1,144,269.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,862.50 : 537,906 = 537,906 : x
  2. Step 2: Convert to fraction form
    252,862.50/537,906 = 537,906/x
  3. Step 3: Cross multiply
    252,862.50x = 537,906 × 537,906
  4. Step 4: Simplify right side
    252,862.50x = 289,342,864,836
  5. Step 5: Solve for x
    x = 289,342,864,836/252,862.50
  6. Step 6: Final answer
    x = 1,144,269.57

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.