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Finding the Third Proportional to 301,069.13 and 412,840.13

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Solution

The third proportional to 301,069.13 and 412,840.13 is: 566,105.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,069.13 : 412,840.13 = 412,840.13 : x
  2. Step 2: Convert to fraction form
    301,069.13/412,840.13 = 412,840.13/x
  3. Step 3: Cross multiply
    301,069.13x = 412,840.13 × 412,840.13
  4. Step 4: Simplify right side
    301,069.13x = 170,436,968,810.02
  5. Step 5: Solve for x
    x = 170,436,968,810.02/301,069.13
  6. Step 6: Final answer
    x = 566,105.77

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.