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Finding the Third Proportional to 263,938.50 and 575,523

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Solution

The third proportional to 263,938.50 and 575,523 is: 1,254,939.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,938.50 : 575,523 = 575,523 : x
  2. Step 2: Convert to fraction form
    263,938.50/575,523 = 575,523/x
  3. Step 3: Cross multiply
    263,938.50x = 575,523 × 575,523
  4. Step 4: Simplify right side
    263,938.50x = 331,226,723,529
  5. Step 5: Solve for x
    x = 331,226,723,529/263,938.50
  6. Step 6: Final answer
    x = 1,254,939.02

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.