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Finding the Third Proportional to 598,167 and 1,290,253.50

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Solution

The third proportional to 598,167 and 1,290,253.50 is: 2,783,092.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    598,167 : 1,290,253.50 = 1,290,253.50 : x
  2. Step 2: Convert to fraction form
    598,167/1,290,253.50 = 1,290,253.50/x
  3. Step 3: Cross multiply
    598,167x = 1,290,253.50 × 1,290,253.50
  4. Step 4: Simplify right side
    598,167x = 1,664,754,094,262.25
  5. Step 5: Solve for x
    x = 1,664,754,094,262.25/598,167
  6. Step 6: Final answer
    x = 2,783,092.50

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.