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Finding the Third Proportional to 330,058.13 and 723,112.31

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Solution

The third proportional to 330,058.13 and 723,112.31 is: 1,584,240.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    330,058.13 : 723,112.31 = 723,112.31 : x
  2. Step 2: Convert to fraction form
    330,058.13/723,112.31 = 723,112.31/x
  3. Step 3: Cross multiply
    330,058.13x = 723,112.31 × 723,112.31
  4. Step 4: Simplify right side
    330,058.13x = 522,891,416,489.10
  5. Step 5: Solve for x
    x = 522,891,416,489.10/330,058.13
  6. Step 6: Final answer
    x = 1,584,240.40

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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.