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Finding the Third Proportional to 201,906 and 424,710

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Solution

The third proportional to 201,906 and 424,710 is: 893,379.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,906 : 424,710 = 424,710 : x
  2. Step 2: Convert to fraction form
    201,906/424,710 = 424,710/x
  3. Step 3: Cross multiply
    201,906x = 424,710 × 424,710
  4. Step 4: Simplify right side
    201,906x = 180,378,584,100
  5. Step 5: Solve for x
    x = 180,378,584,100/201,906
  6. Step 6: Final answer
    x = 893,379.02

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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.