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Finding the Third Proportional to 352,649.25 and 832,334.25

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Solution

The third proportional to 352,649.25 and 832,334.25 is: 1,964,502.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    352,649.25 : 832,334.25 = 832,334.25 : x
  2. Step 2: Convert to fraction form
    352,649.25/832,334.25 = 832,334.25/x
  3. Step 3: Cross multiply
    352,649.25x = 832,334.25 × 832,334.25
  4. Step 4: Simplify right side
    352,649.25x = 692,780,303,723.06
  5. Step 5: Solve for x
    x = 692,780,303,723.06/352,649.25
  6. Step 6: Final answer
    x = 1,964,502.42

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.