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Finding the Third Proportional to 364,950 and 581,148

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Solution

The third proportional to 364,950 and 581,148 is: 925,422.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,950 : 581,148 = 581,148 : x
  2. Step 2: Convert to fraction form
    364,950/581,148 = 581,148/x
  3. Step 3: Cross multiply
    364,950x = 581,148 × 581,148
  4. Step 4: Simplify right side
    364,950x = 337,732,997,904
  5. Step 5: Solve for x
    x = 337,732,997,904/364,950
  6. Step 6: Final answer
    x = 925,422.65

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.