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Finding the Third Proportional to 364,916 and 581,101

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Solution

The third proportional to 364,916 and 581,101 is: 925,359.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,916 : 581,101 = 581,101 : x
  2. Step 2: Convert to fraction form
    364,916/581,101 = 581,101/x
  3. Step 3: Cross multiply
    364,916x = 581,101 × 581,101
  4. Step 4: Simplify right side
    364,916x = 337,678,372,201
  5. Step 5: Solve for x
    x = 337,678,372,201/364,916
  6. Step 6: Final answer
    x = 925,359.18

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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.