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Finding the Third Proportional to 364,576 and 570,758

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Solution

The third proportional to 364,576 and 570,758 is: 893,543.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,576 : 570,758 = 570,758 : x
  2. Step 2: Convert to fraction form
    364,576/570,758 = 570,758/x
  3. Step 3: Cross multiply
    364,576x = 570,758 × 570,758
  4. Step 4: Simplify right side
    364,576x = 325,764,694,564
  5. Step 5: Solve for x
    x = 325,764,694,564/364,576
  6. Step 6: Final answer
    x = 893,543.99

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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.