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Finding the Third Proportional to 305,266.22 and 448,752.66

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Solution

The third proportional to 305,266.22 and 448,752.66 is: 659,683.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,266.22 : 448,752.66 = 448,752.66 : x
  2. Step 2: Convert to fraction form
    305,266.22/448,752.66 = 448,752.66/x
  3. Step 3: Cross multiply
    305,266.22x = 448,752.66 × 448,752.66
  4. Step 4: Simplify right side
    305,266.22x = 201,378,946,491.43
  5. Step 5: Solve for x
    x = 201,378,946,491.43/305,266.22
  6. Step 6: Final answer
    x = 659,683.04

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.