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Finding the Third Proportional to 351,728 and 715,882

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Solution

The third proportional to 351,728 and 715,882 is: 1,457,054.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    351,728 : 715,882 = 715,882 : x
  2. Step 2: Convert to fraction form
    351,728/715,882 = 715,882/x
  3. Step 3: Cross multiply
    351,728x = 715,882 × 715,882
  4. Step 4: Simplify right side
    351,728x = 512,487,037,924
  5. Step 5: Solve for x
    x = 512,487,037,924/351,728
  6. Step 6: Final answer
    x = 1,457,054.99

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.