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Finding the Third Proportional to 210,321 and 452,322

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Solution

The third proportional to 210,321 and 452,322 is: 972,775.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,321 : 452,322 = 452,322 : x
  2. Step 2: Convert to fraction form
    210,321/452,322 = 452,322/x
  3. Step 3: Cross multiply
    210,321x = 452,322 × 452,322
  4. Step 4: Simplify right side
    210,321x = 204,595,191,684
  5. Step 5: Solve for x
    x = 204,595,191,684/210,321
  6. Step 6: Final answer
    x = 972,775.86

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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.