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Finding the Third Proportional to 307,205.16 and 476,982.42

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Solution

The third proportional to 307,205.16 and 476,982.42 is: 740,587.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,205.16 : 476,982.42 = 476,982.42 : x
  2. Step 2: Convert to fraction form
    307,205.16/476,982.42 = 476,982.42/x
  3. Step 3: Cross multiply
    307,205.16x = 476,982.42 × 476,982.42
  4. Step 4: Simplify right side
    307,205.16x = 227,512,230,777.74
  5. Step 5: Solve for x
    x = 227,512,230,777.74/307,205.16
  6. Step 6: Final answer
    x = 740,587.28

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.