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Finding the Third Proportional to 229,401 and 364,384.13

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Solution

The third proportional to 229,401 and 364,384.13 is: 578,793.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,401 : 364,384.13 = 364,384.13 : x
  2. Step 2: Convert to fraction form
    229,401/364,384.13 = 364,384.13/x
  3. Step 3: Cross multiply
    229,401x = 364,384.13 × 364,384.13
  4. Step 4: Simplify right side
    229,401x = 132,775,790,552.02
  5. Step 5: Solve for x
    x = 132,775,790,552.02/229,401
  6. Step 6: Final answer
    x = 578,793.43

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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.