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Finding the Third Proportional to 304,312.83 and 474,893.22

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Solution

The third proportional to 304,312.83 and 474,893.22 is: 741,091.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,312.83 : 474,893.22 = 474,893.22 : x
  2. Step 2: Convert to fraction form
    304,312.83/474,893.22 = 474,893.22/x
  3. Step 3: Cross multiply
    304,312.83x = 474,893.22 × 474,893.22
  4. Step 4: Simplify right side
    304,312.83x = 225,523,571,417.62
  5. Step 5: Solve for x
    x = 225,523,571,417.62/304,312.83
  6. Step 6: Final answer
    x = 741,091.24

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.