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Finding the Third Proportional to 804,700 and 1,215,250

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Solution

The third proportional to 804,700 and 1,215,250 is: 1,835,258.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    804,700 : 1,215,250 = 1,215,250 : x
  2. Step 2: Convert to fraction form
    804,700/1,215,250 = 1,215,250/x
  3. Step 3: Cross multiply
    804,700x = 1,215,250 × 1,215,250
  4. Step 4: Simplify right side
    804,700x = 1,476,832,562,500
  5. Step 5: Solve for x
    x = 1,476,832,562,500/804,700
  6. Step 6: Final answer
    x = 1,835,258.56

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