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Finding the Third Proportional to 411,262.31 and 613,468.69

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Solution

The third proportional to 411,262.31 and 613,468.69 is: 915,094.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,262.31 : 613,468.69 = 613,468.69 : x
  2. Step 2: Convert to fraction form
    411,262.31/613,468.69 = 613,468.69/x
  3. Step 3: Cross multiply
    411,262.31x = 613,468.69 × 613,468.69
  4. Step 4: Simplify right side
    411,262.31x = 376,343,830,542.97
  5. Step 5: Solve for x
    x = 376,343,830,542.97/411,262.31
  6. Step 6: Final answer
    x = 915,094.38

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.