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Finding the Third Proportional to 236,980.69 and 507,313.13

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Solution

The third proportional to 236,980.69 and 507,313.13 is: 1,086,023.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    236,980.69 : 507,313.13 = 507,313.13 : x
  2. Step 2: Convert to fraction form
    236,980.69/507,313.13 = 507,313.13/x
  3. Step 3: Cross multiply
    236,980.69x = 507,313.13 × 507,313.13
  4. Step 4: Simplify right side
    236,980.69x = 257,366,606,797.27
  5. Step 5: Solve for x
    x = 257,366,606,797.27/236,980.69
  6. Step 6: Final answer
    x = 1,086,023.55

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.