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Finding the Third Proportional to 354,452 and 777,796

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Solution

The third proportional to 354,452 and 777,796 is: 1,706,765.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,452 : 777,796 = 777,796 : x
  2. Step 2: Convert to fraction form
    354,452/777,796 = 777,796/x
  3. Step 3: Cross multiply
    354,452x = 777,796 × 777,796
  4. Step 4: Simplify right side
    354,452x = 604,966,617,616
  5. Step 5: Solve for x
    x = 604,966,617,616/354,452
  6. Step 6: Final answer
    x = 1,706,765.99

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.