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Finding the Third Proportional to 201,883 and 424,691

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Solution

The third proportional to 201,883 and 424,691 is: 893,400.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,883 : 424,691 = 424,691 : x
  2. Step 2: Convert to fraction form
    201,883/424,691 = 424,691/x
  3. Step 3: Cross multiply
    201,883x = 424,691 × 424,691
  4. Step 4: Simplify right side
    201,883x = 180,362,445,481
  5. Step 5: Solve for x
    x = 180,362,445,481/201,883
  6. Step 6: Final answer
    x = 893,400.86

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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.