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Finding the Third Proportional to 233,384 and 509,001

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Solution

The third proportional to 233,384 and 509,001 is: 1,110,110.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,384 : 509,001 = 509,001 : x
  2. Step 2: Convert to fraction form
    233,384/509,001 = 509,001/x
  3. Step 3: Cross multiply
    233,384x = 509,001 × 509,001
  4. Step 4: Simplify right side
    233,384x = 259,082,018,001
  5. Step 5: Solve for x
    x = 259,082,018,001/233,384
  6. Step 6: Final answer
    x = 1,110,110.45

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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.