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Finding the Third Proportional to 566,322 and 857,718

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Solution

The third proportional to 566,322 and 857,718 is: 1,299,049.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    566,322 : 857,718 = 857,718 : x
  2. Step 2: Convert to fraction form
    566,322/857,718 = 857,718/x
  3. Step 3: Cross multiply
    566,322x = 857,718 × 857,718
  4. Step 4: Simplify right side
    566,322x = 735,680,167,524
  5. Step 5: Solve for x
    x = 735,680,167,524/566,322
  6. Step 6: Final answer
    x = 1,299,049.25

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.