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Finding the Third Proportional to 375,237 and 816,564

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Solution

The third proportional to 375,237 and 816,564 is: 1,776,948.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,237 : 816,564 = 816,564 : x
  2. Step 2: Convert to fraction form
    375,237/816,564 = 816,564/x
  3. Step 3: Cross multiply
    375,237x = 816,564 × 816,564
  4. Step 4: Simplify right side
    375,237x = 666,776,766,096
  5. Step 5: Solve for x
    x = 666,776,766,096/375,237
  6. Step 6: Final answer
    x = 1,776,948.34

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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.