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Finding the Third Proportional to 229,437.56 and 492,090.19

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Solution

The third proportional to 229,437.56 and 492,090.19 is: 1,055,418.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,437.56 : 492,090.19 = 492,090.19 : x
  2. Step 2: Convert to fraction form
    229,437.56/492,090.19 = 492,090.19/x
  3. Step 3: Cross multiply
    229,437.56x = 492,090.19 × 492,090.19
  4. Step 4: Simplify right side
    229,437.56x = 242,152,752,633.79
  5. Step 5: Solve for x
    x = 242,152,752,633.79/229,437.56
  6. Step 6: Final answer
    x = 1,055,418.96

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.