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Finding the Third Proportional to 375,236 and 816,562

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Solution

The third proportional to 375,236 and 816,562 is: 1,776,944.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,236 : 816,562 = 816,562 : x
  2. Step 2: Convert to fraction form
    375,236/816,562 = 816,562/x
  3. Step 3: Cross multiply
    375,236x = 816,562 × 816,562
  4. Step 4: Simplify right side
    375,236x = 666,773,499,844
  5. Step 5: Solve for x
    x = 666,773,499,844/375,236
  6. Step 6: Final answer
    x = 1,776,944.38

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.