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Finding the Third Proportional to 375,822.28 and 835,502.34

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Solution

The third proportional to 375,822.28 and 835,502.34 is: 1,857,431.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,822.28 : 835,502.34 = 835,502.34 : x
  2. Step 2: Convert to fraction form
    375,822.28/835,502.34 = 835,502.34/x
  3. Step 3: Cross multiply
    375,822.28x = 835,502.34 × 835,502.34
  4. Step 4: Simplify right side
    375,822.28x = 698,064,166,411.74
  5. Step 5: Solve for x
    x = 698,064,166,411.74/375,822.28
  6. Step 6: Final answer
    x = 1,857,431.56

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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.