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Finding the Third Proportional to 302,890.13 and 655,927.13

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Solution

The third proportional to 302,890.13 and 655,927.13 is: 1,420,450.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,890.13 : 655,927.13 = 655,927.13 : x
  2. Step 2: Convert to fraction form
    302,890.13/655,927.13 = 655,927.13/x
  3. Step 3: Cross multiply
    302,890.13x = 655,927.13 × 655,927.13
  4. Step 4: Simplify right side
    302,890.13x = 430,240,393,310.77
  5. Step 5: Solve for x
    x = 430,240,393,310.77/302,890.13
  6. Step 6: Final answer
    x = 1,420,450.38

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.