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Finding the Third Proportional to 320,238 and 689,959.50

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Solution

The third proportional to 320,238 and 689,959.50 is: 1,486,532.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,238 : 689,959.50 = 689,959.50 : x
  2. Step 2: Convert to fraction form
    320,238/689,959.50 = 689,959.50/x
  3. Step 3: Cross multiply
    320,238x = 689,959.50 × 689,959.50
  4. Step 4: Simplify right side
    320,238x = 476,044,111,640.25
  5. Step 5: Solve for x
    x = 476,044,111,640.25/320,238
  6. Step 6: Final answer
    x = 1,486,532.24

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.