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Finding the Third Proportional to 364,196.75 and 571,318.13

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Solution

The third proportional to 364,196.75 and 571,318.13 is: 896,230.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,196.75 : 571,318.13 = 571,318.13 : x
  2. Step 2: Convert to fraction form
    364,196.75/571,318.13 = 571,318.13/x
  3. Step 3: Cross multiply
    364,196.75x = 571,318.13 × 571,318.13
  4. Step 4: Simplify right side
    364,196.75x = 326,404,399,953.52
  5. Step 5: Solve for x
    x = 326,404,399,953.52/364,196.75
  6. Step 6: Final answer
    x = 896,230.95

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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.