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Finding the Third Proportional to 301,037.13 and 626,985.56

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Solution

The third proportional to 301,037.13 and 626,985.56 is: 1,305,855.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,037.13 : 626,985.56 = 626,985.56 : x
  2. Step 2: Convert to fraction form
    301,037.13/626,985.56 = 626,985.56/x
  3. Step 3: Cross multiply
    301,037.13x = 626,985.56 × 626,985.56
  4. Step 4: Simplify right side
    301,037.13x = 393,110,895,583.44
  5. Step 5: Solve for x
    x = 393,110,895,583.44/301,037.13
  6. Step 6: Final answer
    x = 1,305,855.17

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.