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Finding the Third Proportional to 364,578 and 570,761

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Solution

The third proportional to 364,578 and 570,761 is: 893,548.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,578 : 570,761 = 570,761 : x
  2. Step 2: Convert to fraction form
    364,578/570,761 = 570,761/x
  3. Step 3: Cross multiply
    364,578x = 570,761 × 570,761
  4. Step 4: Simplify right side
    364,578x = 325,768,119,121
  5. Step 5: Solve for x
    x = 325,768,119,121/364,578
  6. Step 6: Final answer
    x = 893,548.48

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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.