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Finding the Third Proportional to 566,934 and 852,966

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Solution

The third proportional to 566,934 and 852,966 is: 1,283,308.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    566,934 : 852,966 = 852,966 : x
  2. Step 2: Convert to fraction form
    566,934/852,966 = 852,966/x
  3. Step 3: Cross multiply
    566,934x = 852,966 × 852,966
  4. Step 4: Simplify right side
    566,934x = 727,550,997,156
  5. Step 5: Solve for x
    x = 727,550,997,156/566,934
  6. Step 6: Final answer
    x = 1,283,308.10

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.