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Finding the Third Proportional to 348,834 and 753,420

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Solution

The third proportional to 348,834 and 753,420 is: 1,627,254.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    348,834 : 753,420 = 753,420 : x
  2. Step 2: Convert to fraction form
    348,834/753,420 = 753,420/x
  3. Step 3: Cross multiply
    348,834x = 753,420 × 753,420
  4. Step 4: Simplify right side
    348,834x = 567,641,696,400
  5. Step 5: Solve for x
    x = 567,641,696,400/348,834
  6. Step 6: Final answer
    x = 1,627,254.50

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.