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Finding the Third Proportional to 353,796 and 777,098

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Solution

The third proportional to 353,796 and 777,098 is: 1,706,863.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    353,796 : 777,098 = 777,098 : x
  2. Step 2: Convert to fraction form
    353,796/777,098 = 777,098/x
  3. Step 3: Cross multiply
    353,796x = 777,098 × 777,098
  4. Step 4: Simplify right side
    353,796x = 603,881,301,604
  5. Step 5: Solve for x
    x = 603,881,301,604/353,796
  6. Step 6: Final answer
    x = 1,706,863.00

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.