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Finding the Third Proportional to 352,059.75 and 760,237.50

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Solution

The third proportional to 352,059.75 and 760,237.50 is: 1,641,656.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    352,059.75 : 760,237.50 = 760,237.50 : x
  2. Step 2: Convert to fraction form
    352,059.75/760,237.50 = 760,237.50/x
  3. Step 3: Cross multiply
    352,059.75x = 760,237.50 × 760,237.50
  4. Step 4: Simplify right side
    352,059.75x = 577,961,056,406.25
  5. Step 5: Solve for x
    x = 577,961,056,406.25/352,059.75
  6. Step 6: Final answer
    x = 1,641,656.16

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.