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Finding the Third Proportional to 258,621.29 and 563,799.63

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Solution

The third proportional to 258,621.29 and 563,799.63 is: 1,229,094.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,621.29 : 563,799.63 = 563,799.63 : x
  2. Step 2: Convert to fraction form
    258,621.29/563,799.63 = 563,799.63/x
  3. Step 3: Cross multiply
    258,621.29x = 563,799.63 × 563,799.63
  4. Step 4: Simplify right side
    258,621.29x = 317,870,022,656.01
  5. Step 5: Solve for x
    x = 317,870,022,656.01/258,621.29
  6. Step 6: Final answer
    x = 1,229,094.55

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.