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Finding the Third Proportional to 353,965.50 and 560,751.75

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Solution

The third proportional to 353,965.50 and 560,751.75 is: 888,342.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    353,965.50 : 560,751.75 = 560,751.75 : x
  2. Step 2: Convert to fraction form
    353,965.50/560,751.75 = 560,751.75/x
  3. Step 3: Cross multiply
    353,965.50x = 560,751.75 × 560,751.75
  4. Step 4: Simplify right side
    353,965.50x = 314,442,525,128.06
  5. Step 5: Solve for x
    x = 314,442,525,128.06/353,965.50
  6. Step 6: Final answer
    x = 888,342.30

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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.