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Finding the Third Proportional to 375,232 and 821,853

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Solution

The third proportional to 375,232 and 821,853 is: 1,800,065.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,232 : 821,853 = 821,853 : x
  2. Step 2: Convert to fraction form
    375,232/821,853 = 821,853/x
  3. Step 3: Cross multiply
    375,232x = 821,853 × 821,853
  4. Step 4: Simplify right side
    375,232x = 675,442,353,609
  5. Step 5: Solve for x
    x = 675,442,353,609/375,232
  6. Step 6: Final answer
    x = 1,800,065.97

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.