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Finding the Third Proportional to 563,886 and 845,649

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Solution

The third proportional to 563,886 and 845,649 is: 1,268,203.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    563,886 : 845,649 = 845,649 : x
  2. Step 2: Convert to fraction form
    563,886/845,649 = 845,649/x
  3. Step 3: Cross multiply
    563,886x = 845,649 × 845,649
  4. Step 4: Simplify right side
    563,886x = 715,122,231,201
  5. Step 5: Solve for x
    x = 715,122,231,201/563,886
  6. Step 6: Final answer
    x = 1,268,203.56

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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.