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Finding the Third Proportional to 589,680 and 883,595.25

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Solution

The third proportional to 589,680 and 883,595.25 is: 1,324,007.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    589,680 : 883,595.25 = 883,595.25 : x
  2. Step 2: Convert to fraction form
    589,680/883,595.25 = 883,595.25/x
  3. Step 3: Cross multiply
    589,680x = 883,595.25 × 883,595.25
  4. Step 4: Simplify right side
    589,680x = 780,740,565,822.56
  5. Step 5: Solve for x
    x = 780,740,565,822.56/589,680
  6. Step 6: Final answer
    x = 1,324,007.20

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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.