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Finding the Third Proportional to 463,731 and 737,673

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Solution

The third proportional to 463,731 and 737,673 is: 1,173,442.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,731 : 737,673 = 737,673 : x
  2. Step 2: Convert to fraction form
    463,731/737,673 = 737,673/x
  3. Step 3: Cross multiply
    463,731x = 737,673 × 737,673
  4. Step 4: Simplify right side
    463,731x = 544,161,454,929
  5. Step 5: Solve for x
    x = 544,161,454,929/463,731
  6. Step 6: Final answer
    x = 1,173,442.05

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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.