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Finding the Third Proportional to 351,800 and 829,646

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Solution

The third proportional to 351,800 and 829,646 is: 1,956,544.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    351,800 : 829,646 = 829,646 : x
  2. Step 2: Convert to fraction form
    351,800/829,646 = 829,646/x
  3. Step 3: Cross multiply
    351,800x = 829,646 × 829,646
  4. Step 4: Simplify right side
    351,800x = 688,312,485,316
  5. Step 5: Solve for x
    x = 688,312,485,316/351,800
  6. Step 6: Final answer
    x = 1,956,544.87

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.