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Finding the Third Proportional to 354,886 and 536,564

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Solution

The third proportional to 354,886 and 536,564 is: 811,249.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,886 : 536,564 = 536,564 : x
  2. Step 2: Convert to fraction form
    354,886/536,564 = 536,564/x
  3. Step 3: Cross multiply
    354,886x = 536,564 × 536,564
  4. Step 4: Simplify right side
    354,886x = 287,900,926,096
  5. Step 5: Solve for x
    x = 287,900,926,096/354,886
  6. Step 6: Final answer
    x = 811,249.04

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.