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Finding the Third Proportional to 528,196.50 and 1,029,933

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Solution

The third proportional to 528,196.50 and 1,029,933 is: 2,008,271.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    528,196.50 : 1,029,933 = 1,029,933 : x
  2. Step 2: Convert to fraction form
    528,196.50/1,029,933 = 1,029,933/x
  3. Step 3: Cross multiply
    528,196.50x = 1,029,933 × 1,029,933
  4. Step 4: Simplify right side
    528,196.50x = 1,060,761,984,489
  5. Step 5: Solve for x
    x = 1,060,761,984,489/528,196.50
  6. Step 6: Final answer
    x = 2,008,271.51

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These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.