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Finding the Third Proportional to 349,963 and 723,253

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Solution

The third proportional to 349,963 and 723,253 is: 1,494,714.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,963 : 723,253 = 723,253 : x
  2. Step 2: Convert to fraction form
    349,963/723,253 = 723,253/x
  3. Step 3: Cross multiply
    349,963x = 723,253 × 723,253
  4. Step 4: Simplify right side
    349,963x = 523,094,902,009
  5. Step 5: Solve for x
    x = 523,094,902,009/349,963
  6. Step 6: Final answer
    x = 1,494,714.88

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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.