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Finding the Third Proportional to 463,729 and 705,314

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Solution

The third proportional to 463,729 and 705,314 is: 1,072,755.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,729 : 705,314 = 705,314 : x
  2. Step 2: Convert to fraction form
    463,729/705,314 = 705,314/x
  3. Step 3: Cross multiply
    463,729x = 705,314 × 705,314
  4. Step 4: Simplify right side
    463,729x = 497,467,838,596
  5. Step 5: Solve for x
    x = 497,467,838,596/463,729
  6. Step 6: Final answer
    x = 1,072,755.51

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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.