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Finding the Third Proportional to 336,313 and 723,650

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Solution

The third proportional to 336,313 and 723,650 is: 1,557,089.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    336,313 : 723,650 = 723,650 : x
  2. Step 2: Convert to fraction form
    336,313/723,650 = 723,650/x
  3. Step 3: Cross multiply
    336,313x = 723,650 × 723,650
  4. Step 4: Simplify right side
    336,313x = 523,669,322,500
  5. Step 5: Solve for x
    x = 523,669,322,500/336,313
  6. Step 6: Final answer
    x = 1,557,089.15

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.