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Finding the Third Proportional to 294,626.25 and 450,500.63

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Solution

The third proportional to 294,626.25 and 450,500.63 is: 688,841.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,626.25 : 450,500.63 = 450,500.63 : x
  2. Step 2: Convert to fraction form
    294,626.25/450,500.63 = 450,500.63/x
  3. Step 3: Cross multiply
    294,626.25x = 450,500.63 × 450,500.63
  4. Step 4: Simplify right side
    294,626.25x = 202,950,813,125.39
  5. Step 5: Solve for x
    x = 202,950,813,125.39/294,626.25
  6. Step 6: Final answer
    x = 688,841.59

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.