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Finding the Third Proportional to 241,526.81 and 591,720.19

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Solution

The third proportional to 241,526.81 and 591,720.19 is: 1,449,664.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,526.81 : 591,720.19 = 591,720.19 : x
  2. Step 2: Convert to fraction form
    241,526.81/591,720.19 = 591,720.19/x
  3. Step 3: Cross multiply
    241,526.81x = 591,720.19 × 591,720.19
  4. Step 4: Simplify right side
    241,526.81x = 350,132,780,295.04
  5. Step 5: Solve for x
    x = 350,132,780,295.04/241,526.81
  6. Step 6: Final answer
    x = 1,449,664.23

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Why These Related Problems?

These problems maintain the same ratio (2.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.