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Finding the Third Proportional to 269,886 and 403,362

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Solution

The third proportional to 269,886 and 403,362 is: 602,850.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,886 : 403,362 = 403,362 : x
  2. Step 2: Convert to fraction form
    269,886/403,362 = 403,362/x
  3. Step 3: Cross multiply
    269,886x = 403,362 × 403,362
  4. Step 4: Simplify right side
    269,886x = 162,700,903,044
  5. Step 5: Solve for x
    x = 162,700,903,044/269,886
  6. Step 6: Final answer
    x = 602,850.47

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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.