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Finding the Third Proportional to 301,028 and 412,792

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Solution

The third proportional to 301,028 and 412,792 is: 566,051.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,028 : 412,792 = 412,792 : x
  2. Step 2: Convert to fraction form
    301,028/412,792 = 412,792/x
  3. Step 3: Cross multiply
    301,028x = 412,792 × 412,792
  4. Step 4: Simplify right side
    301,028x = 170,397,235,264
  5. Step 5: Solve for x
    x = 170,397,235,264/301,028
  6. Step 6: Final answer
    x = 566,051.12

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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.