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Finding the Third Proportional to 234,539 and 457,411

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Solution

The third proportional to 234,539 and 457,411 is: 892,068.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,539 : 457,411 = 457,411 : x
  2. Step 2: Convert to fraction form
    234,539/457,411 = 457,411/x
  3. Step 3: Cross multiply
    234,539x = 457,411 × 457,411
  4. Step 4: Simplify right side
    234,539x = 209,224,822,921
  5. Step 5: Solve for x
    x = 209,224,822,921/234,539
  6. Step 6: Final answer
    x = 892,068.37

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.