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Finding the Third Proportional to 334,496.25 and 721,480.50

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Solution

The third proportional to 334,496.25 and 721,480.50 is: 1,556,173.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,496.25 : 721,480.50 = 721,480.50 : x
  2. Step 2: Convert to fraction form
    334,496.25/721,480.50 = 721,480.50/x
  3. Step 3: Cross multiply
    334,496.25x = 721,480.50 × 721,480.50
  4. Step 4: Simplify right side
    334,496.25x = 520,534,111,880.25
  5. Step 5: Solve for x
    x = 520,534,111,880.25/334,496.25
  6. Step 6: Final answer
    x = 1,556,173.24

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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.