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Finding the Third Proportional to 353,534 and 763,546

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Solution

The third proportional to 353,534 and 763,546 is: 1,649,070.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    353,534 : 763,546 = 763,546 : x
  2. Step 2: Convert to fraction form
    353,534/763,546 = 763,546/x
  3. Step 3: Cross multiply
    353,534x = 763,546 × 763,546
  4. Step 4: Simplify right side
    353,534x = 583,002,494,116
  5. Step 5: Solve for x
    x = 583,002,494,116/353,534
  6. Step 6: Final answer
    x = 1,649,070.51

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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.