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Finding the Third Proportional to 348,584 and 538,536

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Solution

The third proportional to 348,584 and 538,536 is: 831,997.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    348,584 : 538,536 = 538,536 : x
  2. Step 2: Convert to fraction form
    348,584/538,536 = 538,536/x
  3. Step 3: Cross multiply
    348,584x = 538,536 × 538,536
  4. Step 4: Simplify right side
    348,584x = 290,021,023,296
  5. Step 5: Solve for x
    x = 290,021,023,296/348,584
  6. Step 6: Final answer
    x = 831,997.52

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.