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Finding the Third Proportional to 503,541 and 768,460.50

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Solution

The third proportional to 503,541 and 768,460.50 is: 1,172,757.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    503,541 : 768,460.50 = 768,460.50 : x
  2. Step 2: Convert to fraction form
    503,541/768,460.50 = 768,460.50/x
  3. Step 3: Cross multiply
    503,541x = 768,460.50 × 768,460.50
  4. Step 4: Simplify right side
    503,541x = 590,531,540,060.25
  5. Step 5: Solve for x
    x = 590,531,540,060.25/503,541
  6. Step 6: Final answer
    x = 1,172,757.61

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.