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Finding the Third Proportional to 201,897 and 424,719

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Solution

The third proportional to 201,897 and 424,719 is: 893,456.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,897 : 424,719 = 424,719 : x
  2. Step 2: Convert to fraction form
    201,897/424,719 = 424,719/x
  3. Step 3: Cross multiply
    201,897x = 424,719 × 424,719
  4. Step 4: Simplify right side
    201,897x = 180,386,228,961
  5. Step 5: Solve for x
    x = 180,386,228,961/201,897
  6. Step 6: Final answer
    x = 893,456.71

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.