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Finding the Third Proportional to 269,926 and 403,403

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Solution

The third proportional to 269,926 and 403,403 is: 602,883.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,926 : 403,403 = 403,403 : x
  2. Step 2: Convert to fraction form
    269,926/403,403 = 403,403/x
  3. Step 3: Cross multiply
    269,926x = 403,403 × 403,403
  4. Step 4: Simplify right side
    269,926x = 162,733,980,409
  5. Step 5: Solve for x
    x = 162,733,980,409/269,926
  6. Step 6: Final answer
    x = 602,883.68

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