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Finding the Third Proportional to 524,857.50 and 1,102,593

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Solution

The third proportional to 524,857.50 and 1,102,593 is: 2,316,269.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,857.50 : 1,102,593 = 1,102,593 : x
  2. Step 2: Convert to fraction form
    524,857.50/1,102,593 = 1,102,593/x
  3. Step 3: Cross multiply
    524,857.50x = 1,102,593 × 1,102,593
  4. Step 4: Simplify right side
    524,857.50x = 1,215,711,323,649
  5. Step 5: Solve for x
    x = 1,215,711,323,649/524,857.50
  6. Step 6: Final answer
    x = 2,316,269.32

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.