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Finding the Third Proportional to 563,181.75 and 1,166,284.13

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Solution

The third proportional to 563,181.75 and 1,166,284.13 is: 2,415,239.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    563,181.75 : 1,166,284.13 = 1,166,284.13 : x
  2. Step 2: Convert to fraction form
    563,181.75/1,166,284.13 = 1,166,284.13/x
  3. Step 3: Cross multiply
    563,181.75x = 1,166,284.13 × 1,166,284.13
  4. Step 4: Simplify right side
    563,181.75x = 1,360,218,660,227.02
  5. Step 5: Solve for x
    x = 1,360,218,660,227.02/563,181.75
  6. Step 6: Final answer
    x = 2,415,239.24

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.