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Finding the Third Proportional to 353,733 and 763,484

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Solution

The third proportional to 353,733 and 763,484 is: 1,647,875.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    353,733 : 763,484 = 763,484 : x
  2. Step 2: Convert to fraction form
    353,733/763,484 = 763,484/x
  3. Step 3: Cross multiply
    353,733x = 763,484 × 763,484
  4. Step 4: Simplify right side
    353,733x = 582,907,818,256
  5. Step 5: Solve for x
    x = 582,907,818,256/353,733
  6. Step 6: Final answer
    x = 1,647,875.14

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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.