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Finding the Third Proportional to 575,927 and 852,555

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Solution

The third proportional to 575,927 and 852,555 is: 1,262,052.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    575,927 : 852,555 = 852,555 : x
  2. Step 2: Convert to fraction form
    575,927/852,555 = 852,555/x
  3. Step 3: Cross multiply
    575,927x = 852,555 × 852,555
  4. Step 4: Simplify right side
    575,927x = 726,850,028,025
  5. Step 5: Solve for x
    x = 726,850,028,025/575,927
  6. Step 6: Final answer
    x = 1,262,052.36

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.