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Finding the Third Proportional to 364,587.25 and 570,627.38

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Solution

The third proportional to 364,587.25 and 570,627.38 is: 893,107.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,587.25 : 570,627.38 = 570,627.38 : x
  2. Step 2: Convert to fraction form
    364,587.25/570,627.38 = 570,627.38/x
  3. Step 3: Cross multiply
    364,587.25x = 570,627.38 × 570,627.38
  4. Step 4: Simplify right side
    364,587.25x = 325,615,601,099.39
  5. Step 5: Solve for x
    x = 325,615,601,099.39/364,587.25
  6. Step 6: Final answer
    x = 893,107.48

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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.