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Finding the Third Proportional to 341,498.25 and 501,175.69

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Solution

The third proportional to 341,498.25 and 501,175.69 is: 735,514.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,498.25 : 501,175.69 = 501,175.69 : x
  2. Step 2: Convert to fraction form
    341,498.25/501,175.69 = 501,175.69/x
  3. Step 3: Cross multiply
    341,498.25x = 501,175.69 × 501,175.69
  4. Step 4: Simplify right side
    341,498.25x = 251,177,069,741.10
  5. Step 5: Solve for x
    x = 251,177,069,741.10/341,498.25
  6. Step 6: Final answer
    x = 735,514.95

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