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Finding the Third Proportional to 353,509 and 763,052

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Solution

The third proportional to 353,509 and 763,052 is: 1,647,053.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    353,509 : 763,052 = 763,052 : x
  2. Step 2: Convert to fraction form
    353,509/763,052 = 763,052/x
  3. Step 3: Cross multiply
    353,509x = 763,052 × 763,052
  4. Step 4: Simplify right side
    353,509x = 582,248,354,704
  5. Step 5: Solve for x
    x = 582,248,354,704/353,509
  6. Step 6: Final answer
    x = 1,647,053.84

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.