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Finding the Third Proportional to 552,726.75 and 1,202,764.50

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Solution

The third proportional to 552,726.75 and 1,202,764.50 is: 2,617,283.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    552,726.75 : 1,202,764.50 = 1,202,764.50 : x
  2. Step 2: Convert to fraction form
    552,726.75/1,202,764.50 = 1,202,764.50/x
  3. Step 3: Cross multiply
    552,726.75x = 1,202,764.50 × 1,202,764.50
  4. Step 4: Simplify right side
    552,726.75x = 1,446,642,442,460.25
  5. Step 5: Solve for x
    x = 1,446,642,442,460.25/552,726.75
  6. Step 6: Final answer
    x = 2,617,283.21

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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.