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Finding the Third Proportional to 541,891 and 804,985.50

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Solution

The third proportional to 541,891 and 804,985.50 is: 1,195,815.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    541,891 : 804,985.50 = 804,985.50 : x
  2. Step 2: Convert to fraction form
    541,891/804,985.50 = 804,985.50/x
  3. Step 3: Cross multiply
    541,891x = 804,985.50 × 804,985.50
  4. Step 4: Simplify right side
    541,891x = 648,001,655,210.25
  5. Step 5: Solve for x
    x = 648,001,655,210.25/541,891
  6. Step 6: Final answer
    x = 1,195,815.50

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.