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Finding the Third Proportional to 229,010.63 and 488,460.38

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Solution

The third proportional to 229,010.63 and 488,460.38 is: 1,041,844.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,010.63 : 488,460.38 = 488,460.38 : x
  2. Step 2: Convert to fraction form
    229,010.63/488,460.38 = 488,460.38/x
  3. Step 3: Cross multiply
    229,010.63x = 488,460.38 × 488,460.38
  4. Step 4: Simplify right side
    229,010.63x = 238,593,537,945.14
  5. Step 5: Solve for x
    x = 238,593,537,945.14/229,010.63
  6. Step 6: Final answer
    x = 1,041,844.84

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.