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Finding the Third Proportional to 229,398.75 and 492,026.06

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Solution

The third proportional to 229,398.75 and 492,026.06 is: 1,055,322.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,398.75 : 492,026.06 = 492,026.06 : x
  2. Step 2: Convert to fraction form
    229,398.75/492,026.06 = 492,026.06/x
  3. Step 3: Cross multiply
    229,398.75x = 492,026.06 × 492,026.06
  4. Step 4: Simplify right side
    229,398.75x = 242,089,646,179.25
  5. Step 5: Solve for x
    x = 242,089,646,179.25/229,398.75
  6. Step 6: Final answer
    x = 1,055,322.43

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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.