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Finding the Third Proportional to 364,260 and 570,228

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Solution

The third proportional to 364,260 and 570,228 is: 892,659.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,260 : 570,228 = 570,228 : x
  2. Step 2: Convert to fraction form
    364,260/570,228 = 570,228/x
  3. Step 3: Cross multiply
    364,260x = 570,228 × 570,228
  4. Step 4: Simplify right side
    364,260x = 325,159,971,984
  5. Step 5: Solve for x
    x = 325,159,971,984/364,260
  6. Step 6: Final answer
    x = 892,659.01

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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.