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Finding the Third Proportional to 369,171.75 and 569,507.25

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Solution

The third proportional to 369,171.75 and 569,507.25 is: 878,557.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,171.75 : 569,507.25 = 569,507.25 : x
  2. Step 2: Convert to fraction form
    369,171.75/569,507.25 = 569,507.25/x
  3. Step 3: Cross multiply
    369,171.75x = 569,507.25 × 569,507.25
  4. Step 4: Simplify right side
    369,171.75x = 324,338,507,802.56
  5. Step 5: Solve for x
    x = 324,338,507,802.56/369,171.75
  6. Step 6: Final answer
    x = 878,557.22

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.