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Finding the Third Proportional to 370,171.31 and 559,813.22

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Solution

The third proportional to 370,171.31 and 559,813.22 is: 846,610.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    370,171.31 : 559,813.22 = 559,813.22 : x
  2. Step 2: Convert to fraction form
    370,171.31/559,813.22 = 559,813.22/x
  3. Step 3: Cross multiply
    370,171.31x = 559,813.22 × 559,813.22
  4. Step 4: Simplify right side
    370,171.31x = 313,390,839,887.24
  5. Step 5: Solve for x
    x = 313,390,839,887.24/370,171.31
  6. Step 6: Final answer
    x = 846,610.28

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.