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Finding the Third Proportional to 384,704 and 840,208

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Solution

The third proportional to 384,704 and 840,208 is: 1,835,045.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,704 : 840,208 = 840,208 : x
  2. Step 2: Convert to fraction form
    384,704/840,208 = 840,208/x
  3. Step 3: Cross multiply
    384,704x = 840,208 × 840,208
  4. Step 4: Simplify right side
    384,704x = 705,949,483,264
  5. Step 5: Solve for x
    x = 705,949,483,264/384,704
  6. Step 6: Final answer
    x = 1,835,045.86

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.