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Finding the Third Proportional to 464,222 and 737,805

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Solution

The third proportional to 464,222 and 737,805 is: 1,172,620.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,222 : 737,805 = 737,805 : x
  2. Step 2: Convert to fraction form
    464,222/737,805 = 737,805/x
  3. Step 3: Cross multiply
    464,222x = 737,805 × 737,805
  4. Step 4: Simplify right side
    464,222x = 544,356,218,025
  5. Step 5: Solve for x
    x = 544,356,218,025/464,222
  6. Step 6: Final answer
    x = 1,172,620.47

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.