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Finding the Third Proportional to 571,200 and 856,368

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Solution

The third proportional to 571,200 and 856,368 is: 1,283,904.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    571,200 : 856,368 = 856,368 : x
  2. Step 2: Convert to fraction form
    571,200/856,368 = 856,368/x
  3. Step 3: Cross multiply
    571,200x = 856,368 × 856,368
  4. Step 4: Simplify right side
    571,200x = 733,366,151,424
  5. Step 5: Solve for x
    x = 733,366,151,424/571,200
  6. Step 6: Final answer
    x = 1,283,904.33

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.