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Finding the Third Proportional to 348,836 and 753,440

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Solution

The third proportional to 348,836 and 753,440 is: 1,627,331.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    348,836 : 753,440 = 753,440 : x
  2. Step 2: Convert to fraction form
    348,836/753,440 = 753,440/x
  3. Step 3: Cross multiply
    348,836x = 753,440 × 753,440
  4. Step 4: Simplify right side
    348,836x = 567,671,833,600
  5. Step 5: Solve for x
    x = 567,671,833,600/348,836
  6. Step 6: Final answer
    x = 1,627,331.56

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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.