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Finding the Third Proportional to 366,336 and 581,184

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Solution

The third proportional to 366,336 and 581,184 is: 922,035.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,336 : 581,184 = 581,184 : x
  2. Step 2: Convert to fraction form
    366,336/581,184 = 581,184/x
  3. Step 3: Cross multiply
    366,336x = 581,184 × 581,184
  4. Step 4: Simplify right side
    366,336x = 337,774,841,856
  5. Step 5: Solve for x
    x = 337,774,841,856/366,336
  6. Step 6: Final answer
    x = 922,035.62

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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.