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Finding the Third Proportional to 360,259.31 and 776,187.56

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Solution

The third proportional to 360,259.31 and 776,187.56 is: 1,672,315.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,259.31 : 776,187.56 = 776,187.56 : x
  2. Step 2: Convert to fraction form
    360,259.31/776,187.56 = 776,187.56/x
  3. Step 3: Cross multiply
    360,259.31x = 776,187.56 × 776,187.56
  4. Step 4: Simplify right side
    360,259.31x = 602,467,132,179.69
  5. Step 5: Solve for x
    x = 602,467,132,179.69/360,259.31
  6. Step 6: Final answer
    x = 1,672,315.22

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.