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Finding the Third Proportional to 349,966 and 723,261

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Solution

The third proportional to 349,966 and 723,261 is: 1,494,735.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,966 : 723,261 = 723,261 : x
  2. Step 2: Convert to fraction form
    349,966/723,261 = 723,261/x
  3. Step 3: Cross multiply
    349,966x = 723,261 × 723,261
  4. Step 4: Simplify right side
    349,966x = 523,106,474,121
  5. Step 5: Solve for x
    x = 523,106,474,121/349,966
  6. Step 6: Final answer
    x = 1,494,735.13

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.