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Finding the Third Proportional to 541,983 and 805,116

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Solution

The third proportional to 541,983 and 805,116 is: 1,196,000.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    541,983 : 805,116 = 805,116 : x
  2. Step 2: Convert to fraction form
    541,983/805,116 = 805,116/x
  3. Step 3: Cross multiply
    541,983x = 805,116 × 805,116
  4. Step 4: Simplify right side
    541,983x = 648,211,773,456
  5. Step 5: Solve for x
    x = 648,211,773,456/541,983
  6. Step 6: Final answer
    x = 1,196,000.19

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.