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Finding the Third Proportional to 571,462 and 778,357

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Solution

The third proportional to 571,462 and 778,357 is: 1,060,157.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    571,462 : 778,357 = 778,357 : x
  2. Step 2: Convert to fraction form
    571,462/778,357 = 778,357/x
  3. Step 3: Cross multiply
    571,462x = 778,357 × 778,357
  4. Step 4: Simplify right side
    571,462x = 605,839,619,449
  5. Step 5: Solve for x
    x = 605,839,619,449/571,462
  6. Step 6: Final answer
    x = 1,060,157.31

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.