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Finding the Third Proportional to 517,732.50 and 1,112,313

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Solution

The third proportional to 517,732.50 and 1,112,313 is: 2,389,728.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,732.50 : 1,112,313 = 1,112,313 : x
  2. Step 2: Convert to fraction form
    517,732.50/1,112,313 = 1,112,313/x
  3. Step 3: Cross multiply
    517,732.50x = 1,112,313 × 1,112,313
  4. Step 4: Simplify right side
    517,732.50x = 1,237,240,209,969
  5. Step 5: Solve for x
    x = 1,237,240,209,969/517,732.50
  6. Step 6: Final answer
    x = 2,389,728.69

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.