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Finding the Third Proportional to 233,390 and 509,013

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Solution

The third proportional to 233,390 and 509,013 is: 1,110,134.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,390 : 509,013 = 509,013 : x
  2. Step 2: Convert to fraction form
    233,390/509,013 = 509,013/x
  3. Step 3: Cross multiply
    233,390x = 509,013 × 509,013
  4. Step 4: Simplify right side
    233,390x = 259,094,234,169
  5. Step 5: Solve for x
    x = 259,094,234,169/233,390
  6. Step 6: Final answer
    x = 1,110,134.26

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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.