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Finding the Third Proportional to 524,084.50 and 1,116,803

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Solution

The third proportional to 524,084.50 and 1,116,803 is: 2,379,862.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,084.50 : 1,116,803 = 1,116,803 : x
  2. Step 2: Convert to fraction form
    524,084.50/1,116,803 = 1,116,803/x
  3. Step 3: Cross multiply
    524,084.50x = 1,116,803 × 1,116,803
  4. Step 4: Simplify right side
    524,084.50x = 1,247,248,940,809
  5. Step 5: Solve for x
    x = 1,247,248,940,809/524,084.50
  6. Step 6: Final answer
    x = 2,379,862.29

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.