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Finding the Third Proportional to 438,009 and 484,089

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Solution

The third proportional to 438,009 and 484,089 is: 535,016.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,009 : 484,089 = 484,089 : x
  2. Step 2: Convert to fraction form
    438,009/484,089 = 484,089/x
  3. Step 3: Cross multiply
    438,009x = 484,089 × 484,089
  4. Step 4: Simplify right side
    438,009x = 234,342,159,921
  5. Step 5: Solve for x
    x = 234,342,159,921/438,009
  6. Step 6: Final answer
    x = 535,016.77

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Why These Related Problems?

These problems maintain the same ratio (1.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.