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Finding the Third Proportional to 375,648 and 835,282

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Solution

The third proportional to 375,648 and 835,282 is: 1,857,313.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,648 : 835,282 = 835,282 : x
  2. Step 2: Convert to fraction form
    375,648/835,282 = 835,282/x
  3. Step 3: Cross multiply
    375,648x = 835,282 × 835,282
  4. Step 4: Simplify right side
    375,648x = 697,696,019,524
  5. Step 5: Solve for x
    x = 697,696,019,524/375,648
  6. Step 6: Final answer
    x = 1,857,313.28

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.