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Finding the Third Proportional to 301,791 and 452,724

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Solution

The third proportional to 301,791 and 452,724 is: 679,142.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,791 : 452,724 = 452,724 : x
  2. Step 2: Convert to fraction form
    301,791/452,724 = 452,724/x
  3. Step 3: Cross multiply
    301,791x = 452,724 × 452,724
  4. Step 4: Simplify right side
    301,791x = 204,959,020,176
  5. Step 5: Solve for x
    x = 204,959,020,176/301,791
  6. Step 6: Final answer
    x = 679,142.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.