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Finding the Third Proportional to 589,767.75 and 889,525.13

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Solution

The third proportional to 589,767.75 and 889,525.13 is: 1,341,638.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    589,767.75 : 889,525.13 = 889,525.13 : x
  2. Step 2: Convert to fraction form
    589,767.75/889,525.13 = 889,525.13/x
  3. Step 3: Cross multiply
    589,767.75x = 889,525.13 × 889,525.13
  4. Step 4: Simplify right side
    589,767.75x = 791,254,948,006.27
  5. Step 5: Solve for x
    x = 791,254,948,006.27/589,767.75
  6. Step 6: Final answer
    x = 1,341,638.21

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.