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Finding the Third Proportional to 269,897 and 403,359

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Solution

The third proportional to 269,897 and 403,359 is: 602,816.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,897 : 403,359 = 403,359 : x
  2. Step 2: Convert to fraction form
    269,897/403,359 = 403,359/x
  3. Step 3: Cross multiply
    269,897x = 403,359 × 403,359
  4. Step 4: Simplify right side
    269,897x = 162,698,482,881
  5. Step 5: Solve for x
    x = 162,698,482,881/269,897
  6. Step 6: Final answer
    x = 602,816.94

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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.