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Finding the Third Proportional to 356,852.25 and 832,683.75

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Solution

The third proportional to 356,852.25 and 832,683.75 is: 1,942,995.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,852.25 : 832,683.75 = 832,683.75 : x
  2. Step 2: Convert to fraction form
    356,852.25/832,683.75 = 832,683.75/x
  3. Step 3: Cross multiply
    356,852.25x = 832,683.75 × 832,683.75
  4. Step 4: Simplify right side
    356,852.25x = 693,362,227,514.06
  5. Step 5: Solve for x
    x = 693,362,227,514.06/356,852.25
  6. Step 6: Final answer
    x = 1,942,995.25

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.