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Finding the Third Proportional to 304,679.25 and 668,434.50

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Solution

The third proportional to 304,679.25 and 668,434.50 is: 1,466,475.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,679.25 : 668,434.50 = 668,434.50 : x
  2. Step 2: Convert to fraction form
    304,679.25/668,434.50 = 668,434.50/x
  3. Step 3: Cross multiply
    304,679.25x = 668,434.50 × 668,434.50
  4. Step 4: Simplify right side
    304,679.25x = 446,804,680,790.25
  5. Step 5: Solve for x
    x = 446,804,680,790.25/304,679.25
  6. Step 6: Final answer
    x = 1,466,475.58

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.