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Finding the Third Proportional to 286,322 and 610,561

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Solution

The third proportional to 286,322 and 610,561 is: 1,301,977.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,322 : 610,561 = 610,561 : x
  2. Step 2: Convert to fraction form
    286,322/610,561 = 610,561/x
  3. Step 3: Cross multiply
    286,322x = 610,561 × 610,561
  4. Step 4: Simplify right side
    286,322x = 372,784,734,721
  5. Step 5: Solve for x
    x = 372,784,734,721/286,322
  6. Step 6: Final answer
    x = 1,301,977.27

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.