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Finding the Third Proportional to 330,212 and 723,718

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Solution

The third proportional to 330,212 and 723,718 is: 1,586,156.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    330,212 : 723,718 = 723,718 : x
  2. Step 2: Convert to fraction form
    330,212/723,718 = 723,718/x
  3. Step 3: Cross multiply
    330,212x = 723,718 × 723,718
  4. Step 4: Simplify right side
    330,212x = 523,767,743,524
  5. Step 5: Solve for x
    x = 523,767,743,524/330,212
  6. Step 6: Final answer
    x = 1,586,156.00

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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.