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Finding the Third Proportional to 589,686.75 and 883,606.13

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Solution

The third proportional to 589,686.75 and 883,606.13 is: 1,324,024.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    589,686.75 : 883,606.13 = 883,606.13 : x
  2. Step 2: Convert to fraction form
    589,686.75/883,606.13 = 883,606.13/x
  3. Step 3: Cross multiply
    589,686.75x = 883,606.13 × 883,606.13
  4. Step 4: Simplify right side
    589,686.75x = 780,759,784,137.52
  5. Step 5: Solve for x
    x = 780,759,784,137.52/589,686.75
  6. Step 6: Final answer
    x = 1,324,024.64

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.