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Finding the Third Proportional to 252,865.50 and 537,918

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Solution

The third proportional to 252,865.50 and 537,918 is: 1,144,307.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,865.50 : 537,918 = 537,918 : x
  2. Step 2: Convert to fraction form
    252,865.50/537,918 = 537,918/x
  3. Step 3: Cross multiply
    252,865.50x = 537,918 × 537,918
  4. Step 4: Simplify right side
    252,865.50x = 289,355,774,724
  5. Step 5: Solve for x
    x = 289,355,774,724/252,865.50
  6. Step 6: Final answer
    x = 1,144,307.05

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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.