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Finding the Third Proportional to 210,525.75 and 452,575.69

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Solution

The third proportional to 210,525.75 and 452,575.69 is: 972,920.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,525.75 : 452,575.69 = 452,575.69 : x
  2. Step 2: Convert to fraction form
    210,525.75/452,575.69 = 452,575.69/x
  3. Step 3: Cross multiply
    210,525.75x = 452,575.69 × 452,575.69
  4. Step 4: Simplify right side
    210,525.75x = 204,824,752,916.10
  5. Step 5: Solve for x
    x = 204,824,752,916.10/210,525.75
  6. Step 6: Final answer
    x = 972,920.19

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.