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Finding the Third Proportional to 364,191 and 571,308

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Solution

The third proportional to 364,191 and 571,308 is: 896,213.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,191 : 571,308 = 571,308 : x
  2. Step 2: Convert to fraction form
    364,191/571,308 = 571,308/x
  3. Step 3: Cross multiply
    364,191x = 571,308 × 571,308
  4. Step 4: Simplify right side
    364,191x = 326,392,830,864
  5. Step 5: Solve for x
    x = 326,392,830,864/364,191
  6. Step 6: Final answer
    x = 896,213.34

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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.