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Finding the Third Proportional to 201,908 and 424,714

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Solution

The third proportional to 201,908 and 424,714 is: 893,387.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,908 : 424,714 = 424,714 : x
  2. Step 2: Convert to fraction form
    201,908/424,714 = 424,714/x
  3. Step 3: Cross multiply
    201,908x = 424,714 × 424,714
  4. Step 4: Simplify right side
    201,908x = 180,381,981,796
  5. Step 5: Solve for x
    x = 180,381,981,796/201,908
  6. Step 6: Final answer
    x = 893,387.00

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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.