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Finding the Third Proportional to 320,492.25 and 748,739.25

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Solution

The third proportional to 320,492.25 and 748,739.25 is: 1,749,216.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,492.25 : 748,739.25 = 748,739.25 : x
  2. Step 2: Convert to fraction form
    320,492.25/748,739.25 = 748,739.25/x
  3. Step 3: Cross multiply
    320,492.25x = 748,739.25 × 748,739.25
  4. Step 4: Simplify right side
    320,492.25x = 560,610,464,490.56
  5. Step 5: Solve for x
    x = 560,610,464,490.56/320,492.25
  6. Step 6: Final answer
    x = 1,749,216.91

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.