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Finding the Third Proportional to 352,653.75 and 832,342.50

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Solution

The third proportional to 352,653.75 and 832,342.50 is: 1,964,516.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    352,653.75 : 832,342.50 = 832,342.50 : x
  2. Step 2: Convert to fraction form
    352,653.75/832,342.50 = 832,342.50/x
  3. Step 3: Cross multiply
    352,653.75x = 832,342.50 × 832,342.50
  4. Step 4: Simplify right side
    352,653.75x = 692,794,037,306.25
  5. Step 5: Solve for x
    x = 692,794,037,306.25/352,653.75
  6. Step 6: Final answer
    x = 1,964,516.29

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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.