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Finding the Third Proportional to 563,835.94 and 873,843.19

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Solution

The third proportional to 563,835.94 and 873,843.19 is: 1,354,298.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    563,835.94 : 873,843.19 = 873,843.19 : x
  2. Step 2: Convert to fraction form
    563,835.94/873,843.19 = 873,843.19/x
  3. Step 3: Cross multiply
    563,835.94x = 873,843.19 × 873,843.19
  4. Step 4: Simplify right side
    563,835.94x = 763,601,916,340.16
  5. Step 5: Solve for x
    x = 763,601,916,340.16/563,835.94
  6. Step 6: Final answer
    x = 1,354,298.06

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.