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Finding the Third Proportional to 463,727 and 705,311

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Solution

The third proportional to 463,727 and 705,311 is: 1,072,751.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,727 : 705,311 = 705,311 : x
  2. Step 2: Convert to fraction form
    463,727/705,311 = 705,311/x
  3. Step 3: Cross multiply
    463,727x = 705,311 × 705,311
  4. Step 4: Simplify right side
    463,727x = 497,463,606,721
  5. Step 5: Solve for x
    x = 497,463,606,721/463,727
  6. Step 6: Final answer
    x = 1,072,751.01

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.