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Finding the Third Proportional to 503,548 and 768,470

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Solution

The third proportional to 503,548 and 768,470 is: 1,172,770.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    503,548 : 768,470 = 768,470 : x
  2. Step 2: Convert to fraction form
    503,548/768,470 = 768,470/x
  3. Step 3: Cross multiply
    503,548x = 768,470 × 768,470
  4. Step 4: Simplify right side
    503,548x = 590,546,140,900
  5. Step 5: Solve for x
    x = 590,546,140,900/503,548
  6. Step 6: Final answer
    x = 1,172,770.30

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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.