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Finding the Third Proportional to 364,734 and 569,250

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Solution

The third proportional to 364,734 and 569,250 is: 888,443.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,734 : 569,250 = 569,250 : x
  2. Step 2: Convert to fraction form
    364,734/569,250 = 569,250/x
  3. Step 3: Cross multiply
    364,734x = 569,250 × 569,250
  4. Step 4: Simplify right side
    364,734x = 324,045,562,500
  5. Step 5: Solve for x
    x = 324,045,562,500/364,734
  6. Step 6: Final answer
    x = 888,443.53

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.