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Finding the Third Proportional to 335,643.75 and 730,316.25

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Solution

The third proportional to 335,643.75 and 730,316.25 is: 1,589,071.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    335,643.75 : 730,316.25 = 730,316.25 : x
  2. Step 2: Convert to fraction form
    335,643.75/730,316.25 = 730,316.25/x
  3. Step 3: Cross multiply
    335,643.75x = 730,316.25 × 730,316.25
  4. Step 4: Simplify right side
    335,643.75x = 533,361,825,014.06
  5. Step 5: Solve for x
    x = 533,361,825,014.06/335,643.75
  6. Step 6: Final answer
    x = 1,589,071.23

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.