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Finding the Third Proportional to 356,564 and 777,100

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Solution

The third proportional to 356,564 and 777,100 is: 1,693,621.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,564 : 777,100 = 777,100 : x
  2. Step 2: Convert to fraction form
    356,564/777,100 = 777,100/x
  3. Step 3: Cross multiply
    356,564x = 777,100 × 777,100
  4. Step 4: Simplify right side
    356,564x = 603,884,410,000
  5. Step 5: Solve for x
    x = 603,884,410,000/356,564
  6. Step 6: Final answer
    x = 1,693,621.37

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.