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Finding the Third Proportional to 322,209 and 706,390.50

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Solution

The third proportional to 322,209 and 706,390.50 is: 1,548,645.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,209 : 706,390.50 = 706,390.50 : x
  2. Step 2: Convert to fraction form
    322,209/706,390.50 = 706,390.50/x
  3. Step 3: Cross multiply
    322,209x = 706,390.50 × 706,390.50
  4. Step 4: Simplify right side
    322,209x = 498,987,538,490.25
  5. Step 5: Solve for x
    x = 498,987,538,490.25/322,209
  6. Step 6: Final answer
    x = 1,548,645.56

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.