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Finding the Third Proportional to 330,130.97 and 723,548.25

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Solution

The third proportional to 330,130.97 and 723,548.25 is: 1,585,801.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    330,130.97 : 723,548.25 = 723,548.25 : x
  2. Step 2: Convert to fraction form
    330,130.97/723,548.25 = 723,548.25/x
  3. Step 3: Cross multiply
    330,130.97x = 723,548.25 × 723,548.25
  4. Step 4: Simplify right side
    330,130.97x = 523,522,070,078.06
  5. Step 5: Solve for x
    x = 523,522,070,078.06/330,130.97
  6. Step 6: Final answer
    x = 1,585,801.15

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.