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Finding the Third Proportional to 294,887 and 403,531

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Solution

The third proportional to 294,887 and 403,531 is: 552,202.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,887 : 403,531 = 403,531 : x
  2. Step 2: Convert to fraction form
    294,887/403,531 = 403,531/x
  3. Step 3: Cross multiply
    294,887x = 403,531 × 403,531
  4. Step 4: Simplify right side
    294,887x = 162,837,267,961
  5. Step 5: Solve for x
    x = 162,837,267,961/294,887
  6. Step 6: Final answer
    x = 552,202.26

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.