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Finding the Third Proportional to 364,202.25 and 570,064.50

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Solution

The third proportional to 364,202.25 and 570,064.50 is: 892,288.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,202.25 : 570,064.50 = 570,064.50 : x
  2. Step 2: Convert to fraction form
    364,202.25/570,064.50 = 570,064.50/x
  3. Step 3: Cross multiply
    364,202.25x = 570,064.50 × 570,064.50
  4. Step 4: Simplify right side
    364,202.25x = 324,973,534,160.25
  5. Step 5: Solve for x
    x = 324,973,534,160.25/364,202.25
  6. Step 6: Final answer
    x = 892,288.65

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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.