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Finding the Third Proportional to 566,534.25 and 1,159,246.69

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Solution

The third proportional to 566,534.25 and 1,159,246.69 is: 2,372,059.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    566,534.25 : 1,159,246.69 = 1,159,246.69 : x
  2. Step 2: Convert to fraction form
    566,534.25/1,159,246.69 = 1,159,246.69/x
  3. Step 3: Cross multiply
    566,534.25x = 1,159,246.69 × 1,159,246.69
  4. Step 4: Simplify right side
    566,534.25x = 1,343,852,882,479.72
  5. Step 5: Solve for x
    x = 1,343,852,882,479.72/566,534.25
  6. Step 6: Final answer
    x = 2,372,059.38

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.