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Finding the Third Proportional to 322,602.75 and 472,493.25

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Solution

The third proportional to 322,602.75 and 472,493.25 is: 692,027.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,602.75 : 472,493.25 = 472,493.25 : x
  2. Step 2: Convert to fraction form
    322,602.75/472,493.25 = 472,493.25/x
  3. Step 3: Cross multiply
    322,602.75x = 472,493.25 × 472,493.25
  4. Step 4: Simplify right side
    322,602.75x = 223,249,871,295.56
  5. Step 5: Solve for x
    x = 223,249,871,295.56/322,602.75
  6. Step 6: Final answer
    x = 692,027.18

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.