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Finding the Third Proportional to 390,082.50 and 811,093.50

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Solution

The third proportional to 390,082.50 and 811,093.50 is: 1,686,496.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,082.50 : 811,093.50 = 811,093.50 : x
  2. Step 2: Convert to fraction form
    390,082.50/811,093.50 = 811,093.50/x
  3. Step 3: Cross multiply
    390,082.50x = 811,093.50 × 811,093.50
  4. Step 4: Simplify right side
    390,082.50x = 657,872,665,742.25
  5. Step 5: Solve for x
    x = 657,872,665,742.25/390,082.50
  6. Step 6: Final answer
    x = 1,686,496.23

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.