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Finding the Third Proportional to 233,388 and 509,009

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Solution

The third proportional to 233,388 and 509,009 is: 1,110,126.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,388 : 509,009 = 509,009 : x
  2. Step 2: Convert to fraction form
    233,388/509,009 = 509,009/x
  3. Step 3: Cross multiply
    233,388x = 509,009 × 509,009
  4. Step 4: Simplify right side
    233,388x = 259,090,162,081
  5. Step 5: Solve for x
    x = 259,090,162,081/233,388
  6. Step 6: Final answer
    x = 1,110,126.32

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.