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Finding the Third Proportional to 503,782 and 755,361

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Solution

The third proportional to 503,782 and 755,361 is: 1,132,573.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    503,782 : 755,361 = 755,361 : x
  2. Step 2: Convert to fraction form
    503,782/755,361 = 755,361/x
  3. Step 3: Cross multiply
    503,782x = 755,361 × 755,361
  4. Step 4: Simplify right side
    503,782x = 570,570,240,321
  5. Step 5: Solve for x
    x = 570,570,240,321/503,782
  6. Step 6: Final answer
    x = 1,132,573.69

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.