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Finding the Third Proportional to 504,606 and 772,677

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Solution

The third proportional to 504,606 and 772,677 is: 1,183,160.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    504,606 : 772,677 = 772,677 : x
  2. Step 2: Convert to fraction form
    504,606/772,677 = 772,677/x
  3. Step 3: Cross multiply
    504,606x = 772,677 × 772,677
  4. Step 4: Simplify right side
    504,606x = 597,029,746,329
  5. Step 5: Solve for x
    x = 597,029,746,329/504,606
  6. Step 6: Final answer
    x = 1,183,160.22

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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.