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Finding the Third Proportional to 589,865.63 and 887,717.81

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Solution

The third proportional to 589,865.63 and 887,717.81 is: 1,335,970.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    589,865.63 : 887,717.81 = 887,717.81 : x
  2. Step 2: Convert to fraction form
    589,865.63/887,717.81 = 887,717.81/x
  3. Step 3: Cross multiply
    589,865.63x = 887,717.81 × 887,717.81
  4. Step 4: Simplify right side
    589,865.63x = 788,042,914,629.79
  5. Step 5: Solve for x
    x = 788,042,914,629.79/589,865.63
  6. Step 6: Final answer
    x = 1,335,970.23

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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.