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Finding the Third Proportional to 550,102 and 875,272

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Solution

The third proportional to 550,102 and 875,272 is: 1,392,652.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    550,102 : 875,272 = 875,272 : x
  2. Step 2: Convert to fraction form
    550,102/875,272 = 875,272/x
  3. Step 3: Cross multiply
    550,102x = 875,272 × 875,272
  4. Step 4: Simplify right side
    550,102x = 766,101,073,984
  5. Step 5: Solve for x
    x = 766,101,073,984/550,102
  6. Step 6: Final answer
    x = 1,392,652.77

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.