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Finding the Third Proportional to 227,208.38 and 492,031.13

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Solution

The third proportional to 227,208.38 and 492,031.13 is: 1,065,518.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,208.38 : 492,031.13 = 492,031.13 : x
  2. Step 2: Convert to fraction form
    227,208.38/492,031.13 = 492,031.13/x
  3. Step 3: Cross multiply
    227,208.38x = 492,031.13 × 492,031.13
  4. Step 4: Simplify right side
    227,208.38x = 242,094,627,968.77
  5. Step 5: Solve for x
    x = 242,094,627,968.77/227,208.38
  6. Step 6: Final answer
    x = 1,065,518.06

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.