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Finding the Third Proportional to 364,199 and 571,321

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Solution

The third proportional to 364,199 and 571,321 is: 896,234.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,199 : 571,321 = 571,321 : x
  2. Step 2: Convert to fraction form
    364,199/571,321 = 571,321/x
  3. Step 3: Cross multiply
    364,199x = 571,321 × 571,321
  4. Step 4: Simplify right side
    364,199x = 326,407,685,041
  5. Step 5: Solve for x
    x = 326,407,685,041/364,199
  6. Step 6: Final answer
    x = 896,234.44

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.