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Finding the Third Proportional to 286,363.50 and 595,990.50

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Solution

The third proportional to 286,363.50 and 595,990.50 is: 1,240,397.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,363.50 : 595,990.50 = 595,990.50 : x
  2. Step 2: Convert to fraction form
    286,363.50/595,990.50 = 595,990.50/x
  3. Step 3: Cross multiply
    286,363.50x = 595,990.50 × 595,990.50
  4. Step 4: Simplify right side
    286,363.50x = 355,204,676,090.25
  5. Step 5: Solve for x
    x = 355,204,676,090.25/286,363.50
  6. Step 6: Final answer
    x = 1,240,397.87

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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.