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Finding the Third Proportional to 301,760 and 661,552

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Solution

The third proportional to 301,760 and 661,552 is: 1,450,328.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,760 : 661,552 = 661,552 : x
  2. Step 2: Convert to fraction form
    301,760/661,552 = 661,552/x
  3. Step 3: Cross multiply
    301,760x = 661,552 × 661,552
  4. Step 4: Simplify right side
    301,760x = 437,651,048,704
  5. Step 5: Solve for x
    x = 437,651,048,704/301,760
  6. Step 6: Final answer
    x = 1,450,328.24

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.