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Finding the Third Proportional to 341,496 and 501,171.75

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Solution

The third proportional to 341,496 and 501,171.75 is: 735,508.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,496 : 501,171.75 = 501,171.75 : x
  2. Step 2: Convert to fraction form
    341,496/501,171.75 = 501,171.75/x
  3. Step 3: Cross multiply
    341,496x = 501,171.75 × 501,171.75
  4. Step 4: Simplify right side
    341,496x = 251,173,122,998.06
  5. Step 5: Solve for x
    x = 251,173,122,998.06/341,496
  6. Step 6: Final answer
    x = 735,508.24

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.