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Finding the Third Proportional to 230,009 and 495,010

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Solution

The third proportional to 230,009 and 495,010 is: 1,065,327.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,009 : 495,010 = 495,010 : x
  2. Step 2: Convert to fraction form
    230,009/495,010 = 495,010/x
  3. Step 3: Cross multiply
    230,009x = 495,010 × 495,010
  4. Step 4: Simplify right side
    230,009x = 245,034,900,100
  5. Step 5: Solve for x
    x = 245,034,900,100/230,009
  6. Step 6: Final answer
    x = 1,065,327.44

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.