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Finding the Third Proportional to 550,501 and 850,798

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Solution

The third proportional to 550,501 and 850,798 is: 1,314,906.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    550,501 : 850,798 = 850,798 : x
  2. Step 2: Convert to fraction form
    550,501/850,798 = 850,798/x
  3. Step 3: Cross multiply
    550,501x = 850,798 × 850,798
  4. Step 4: Simplify right side
    550,501x = 723,857,236,804
  5. Step 5: Solve for x
    x = 723,857,236,804/550,501
  6. Step 6: Final answer
    x = 1,314,906.31

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.