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Finding the Third Proportional to 269,359 and 401,702

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Solution

The third proportional to 269,359 and 401,702 is: 599,068.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,359 : 401,702 = 401,702 : x
  2. Step 2: Convert to fraction form
    269,359/401,702 = 401,702/x
  3. Step 3: Cross multiply
    269,359x = 401,702 × 401,702
  4. Step 4: Simplify right side
    269,359x = 161,364,496,804
  5. Step 5: Solve for x
    x = 161,364,496,804/269,359
  6. Step 6: Final answer
    x = 599,068.52

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Why These Related Problems?

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