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Finding the Third Proportional to 265,528 and 400,495.75

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Solution

The third proportional to 265,528 and 400,495.75 is: 604,067.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,528 : 400,495.75 = 400,495.75 : x
  2. Step 2: Convert to fraction form
    265,528/400,495.75 = 400,495.75/x
  3. Step 3: Cross multiply
    265,528x = 400,495.75 × 400,495.75
  4. Step 4: Simplify right side
    265,528x = 160,396,845,768.06
  5. Step 5: Solve for x
    x = 160,396,845,768.06/265,528
  6. Step 6: Final answer
    x = 604,067.54

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.