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Finding the Third Proportional to 503,787 and 755,368

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Solution

The third proportional to 503,787 and 755,368 is: 1,132,583.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    503,787 : 755,368 = 755,368 : x
  2. Step 2: Convert to fraction form
    503,787/755,368 = 755,368/x
  3. Step 3: Cross multiply
    503,787x = 755,368 × 755,368
  4. Step 4: Simplify right side
    503,787x = 570,580,815,424
  5. Step 5: Solve for x
    x = 570,580,815,424/503,787
  6. Step 6: Final answer
    x = 1,132,583.44

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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.