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Finding the Third Proportional to 364,206 and 571,332

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Solution

The third proportional to 364,206 and 571,332 is: 896,251.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,206 : 571,332 = 571,332 : x
  2. Step 2: Convert to fraction form
    364,206/571,332 = 571,332/x
  3. Step 3: Cross multiply
    364,206x = 571,332 × 571,332
  4. Step 4: Simplify right side
    364,206x = 326,420,254,224
  5. Step 5: Solve for x
    x = 326,420,254,224/364,206
  6. Step 6: Final answer
    x = 896,251.72

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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.