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Finding the Third Proportional to 301,155.75 and 412,966.13

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Solution

The third proportional to 301,155.75 and 412,966.13 is: 566,288.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,155.75 : 412,966.13 = 412,966.13 : x
  2. Step 2: Convert to fraction form
    301,155.75/412,966.13 = 412,966.13/x
  3. Step 3: Cross multiply
    301,155.75x = 412,966.13 × 412,966.13
  4. Step 4: Simplify right side
    301,155.75x = 170,541,020,397.52
  5. Step 5: Solve for x
    x = 170,541,020,397.52/301,155.75
  6. Step 6: Final answer
    x = 566,288.44

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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.