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Finding the Third Proportional to 228,222.56 and 492,530.63

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Solution

The third proportional to 228,222.56 and 492,530.63 is: 1,062,937.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,222.56 : 492,530.63 = 492,530.63 : x
  2. Step 2: Convert to fraction form
    228,222.56/492,530.63 = 492,530.63/x
  3. Step 3: Cross multiply
    228,222.56x = 492,530.63 × 492,530.63
  4. Step 4: Simplify right side
    228,222.56x = 242,586,416,562.89
  5. Step 5: Solve for x
    x = 242,586,416,562.89/228,222.56
  6. Step 6: Final answer
    x = 1,062,937.92

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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.