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Finding the Third Proportional to 353,984 and 764,264

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Solution

The third proportional to 353,984 and 764,264 is: 1,650,073.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    353,984 : 764,264 = 764,264 : x
  2. Step 2: Convert to fraction form
    353,984/764,264 = 764,264/x
  3. Step 3: Cross multiply
    353,984x = 764,264 × 764,264
  4. Step 4: Simplify right side
    353,984x = 584,099,461,696
  5. Step 5: Solve for x
    x = 584,099,461,696/353,984
  6. Step 6: Final answer
    x = 1,650,073.06

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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.