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Finding the Third Proportional to 589,315.50 and 1,286,580.38

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Solution

The third proportional to 589,315.50 and 1,286,580.38 is: 2,808,833.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    589,315.50 : 1,286,580.38 = 1,286,580.38 : x
  2. Step 2: Convert to fraction form
    589,315.50/1,286,580.38 = 1,286,580.38/x
  3. Step 3: Cross multiply
    589,315.50x = 1,286,580.38 × 1,286,580.38
  4. Step 4: Simplify right side
    589,315.50x = 1,655,289,061,335.14
  5. Step 5: Solve for x
    x = 1,655,289,061,335.14/589,315.50
  6. Step 6: Final answer
    x = 2,808,833.40

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.