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Finding the Third Proportional to 354,455 and 777,807

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Solution

The third proportional to 354,455 and 777,807 is: 1,706,799.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,455 : 777,807 = 777,807 : x
  2. Step 2: Convert to fraction form
    354,455/777,807 = 777,807/x
  3. Step 3: Cross multiply
    354,455x = 777,807 × 777,807
  4. Step 4: Simplify right side
    354,455x = 604,983,729,249
  5. Step 5: Solve for x
    x = 604,983,729,249/354,455
  6. Step 6: Final answer
    x = 1,706,799.82

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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.