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Finding the Third Proportional to 261,617.63 and 554,365.13

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Solution

The third proportional to 261,617.63 and 554,365.13 is: 1,174,694.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,617.63 : 554,365.13 = 554,365.13 : x
  2. Step 2: Convert to fraction form
    261,617.63/554,365.13 = 554,365.13/x
  3. Step 3: Cross multiply
    261,617.63x = 554,365.13 × 554,365.13
  4. Step 4: Simplify right side
    261,617.63x = 307,320,691,816.27
  5. Step 5: Solve for x
    x = 307,320,691,816.27/261,617.63
  6. Step 6: Final answer
    x = 1,174,694.14

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.