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Finding the Third Proportional to 467,603 and 723,229

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Solution

The third proportional to 467,603 and 723,229 is: 1,118,598.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    467,603 : 723,229 = 723,229 : x
  2. Step 2: Convert to fraction form
    467,603/723,229 = 723,229/x
  3. Step 3: Cross multiply
    467,603x = 723,229 × 723,229
  4. Step 4: Simplify right side
    467,603x = 523,060,186,441
  5. Step 5: Solve for x
    x = 523,060,186,441/467,603
  6. Step 6: Final answer
    x = 1,118,598.87

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.