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Finding the Third Proportional to 230,415.75 and 501,274.13

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Solution

The third proportional to 230,415.75 and 501,274.13 is: 1,090,532.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,415.75 : 501,274.13 = 501,274.13 : x
  2. Step 2: Convert to fraction form
    230,415.75/501,274.13 = 501,274.13/x
  3. Step 3: Cross multiply
    230,415.75x = 501,274.13 × 501,274.13
  4. Step 4: Simplify right side
    230,415.75x = 251,275,748,394.52
  5. Step 5: Solve for x
    x = 251,275,748,394.52/230,415.75
  6. Step 6: Final answer
    x = 1,090,532.00

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.