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Finding the Third Proportional to 322,202.25 and 473,438.25

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Solution

The third proportional to 322,202.25 and 473,438.25 is: 695,661.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,202.25 : 473,438.25 = 473,438.25 : x
  2. Step 2: Convert to fraction form
    322,202.25/473,438.25 = 473,438.25/x
  3. Step 3: Cross multiply
    322,202.25x = 473,438.25 × 473,438.25
  4. Step 4: Simplify right side
    322,202.25x = 224,143,776,563.06
  5. Step 5: Solve for x
    x = 224,143,776,563.06/322,202.25
  6. Step 6: Final answer
    x = 695,661.74

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.