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Finding the Third Proportional to 356,994 and 772,767

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Solution

The third proportional to 356,994 and 772,767 is: 1,672,769.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,994 : 772,767 = 772,767 : x
  2. Step 2: Convert to fraction form
    356,994/772,767 = 772,767/x
  3. Step 3: Cross multiply
    356,994x = 772,767 × 772,767
  4. Step 4: Simplify right side
    356,994x = 597,168,836,289
  5. Step 5: Solve for x
    x = 597,168,836,289/356,994
  6. Step 6: Final answer
    x = 1,672,769.95

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.