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Finding the Third Proportional to 341,336 and 452,938

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Solution

The third proportional to 341,336 and 452,938 is: 601,028.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,336 : 452,938 = 452,938 : x
  2. Step 2: Convert to fraction form
    341,336/452,938 = 452,938/x
  3. Step 3: Cross multiply
    341,336x = 452,938 × 452,938
  4. Step 4: Simplify right side
    341,336x = 205,152,831,844
  5. Step 5: Solve for x
    x = 205,152,831,844/341,336
  6. Step 6: Final answer
    x = 601,028.99

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.