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Finding the Third Proportional to 364,911 and 581,094

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Solution

The third proportional to 364,911 and 581,094 is: 925,349.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,911 : 581,094 = 581,094 : x
  2. Step 2: Convert to fraction form
    364,911/581,094 = 581,094/x
  3. Step 3: Cross multiply
    364,911x = 581,094 × 581,094
  4. Step 4: Simplify right side
    364,911x = 337,670,236,836
  5. Step 5: Solve for x
    x = 337,670,236,836/364,911
  6. Step 6: Final answer
    x = 925,349.57

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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.