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Finding the Third Proportional to 375,238 and 816,566

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Solution

The third proportional to 375,238 and 816,566 is: 1,776,952.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,238 : 816,566 = 816,566 : x
  2. Step 2: Convert to fraction form
    375,238/816,566 = 816,566/x
  3. Step 3: Cross multiply
    375,238x = 816,566 × 816,566
  4. Step 4: Simplify right side
    375,238x = 666,780,032,356
  5. Step 5: Solve for x
    x = 666,780,032,356/375,238
  6. Step 6: Final answer
    x = 1,776,952.31

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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.