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Finding the Third Proportional to 504,441 and 771,438

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Solution

The third proportional to 504,441 and 771,438 is: 1,179,754.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    504,441 : 771,438 = 771,438 : x
  2. Step 2: Convert to fraction form
    504,441/771,438 = 771,438/x
  3. Step 3: Cross multiply
    504,441x = 771,438 × 771,438
  4. Step 4: Simplify right side
    504,441x = 595,116,587,844
  5. Step 5: Solve for x
    x = 595,116,587,844/504,441
  6. Step 6: Final answer
    x = 1,179,754.60

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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.