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Finding the Third Proportional to 245,057.91 and 512,555.34

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Solution

The third proportional to 245,057.91 and 512,555.34 is: 1,072,044.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    245,057.91 : 512,555.34 = 512,555.34 : x
  2. Step 2: Convert to fraction form
    245,057.91/512,555.34 = 512,555.34/x
  3. Step 3: Cross multiply
    245,057.91x = 512,555.34 × 512,555.34
  4. Step 4: Simplify right side
    245,057.91x = 262,712,980,406.68
  5. Step 5: Solve for x
    x = 262,712,980,406.68/245,057.91
  6. Step 6: Final answer
    x = 1,072,044.50

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.