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Finding the Third Proportional to 227,607.47 and 492,120.56

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Solution

The third proportional to 227,607.47 and 492,120.56 is: 1,064,036.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,607.47 : 492,120.56 = 492,120.56 : x
  2. Step 2: Convert to fraction form
    227,607.47/492,120.56 = 492,120.56/x
  3. Step 3: Cross multiply
    227,607.47x = 492,120.56 × 492,120.56
  4. Step 4: Simplify right side
    227,607.47x = 242,182,648,035.32
  5. Step 5: Solve for x
    x = 242,182,648,035.32/227,607.47
  6. Step 6: Final answer
    x = 1,064,036.47

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.