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Finding the Third Proportional to 364,218 and 571,346

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Solution

The third proportional to 364,218 and 571,346 is: 896,266.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,218 : 571,346 = 571,346 : x
  2. Step 2: Convert to fraction form
    364,218/571,346 = 571,346/x
  3. Step 3: Cross multiply
    364,218x = 571,346 × 571,346
  4. Step 4: Simplify right side
    364,218x = 326,436,251,716
  5. Step 5: Solve for x
    x = 326,436,251,716/364,218
  6. Step 6: Final answer
    x = 896,266.11

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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.