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Finding the Third Proportional to 804,727.50 and 1,215,298.50

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Solution

The third proportional to 804,727.50 and 1,215,298.50 is: 1,835,342.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    804,727.50 : 1,215,298.50 = 1,215,298.50 : x
  2. Step 2: Convert to fraction form
    804,727.50/1,215,298.50 = 1,215,298.50/x
  3. Step 3: Cross multiply
    804,727.50x = 1,215,298.50 × 1,215,298.50
  4. Step 4: Simplify right side
    804,727.50x = 1,476,950,444,102.25
  5. Step 5: Solve for x
    x = 1,476,950,444,102.25/804,727.50
  6. Step 6: Final answer
    x = 1,835,342.33

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.