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Finding the Third Proportional to 233,013 and 509,637

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Solution

The third proportional to 233,013 and 509,637 is: 1,114,658.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,013 : 509,637 = 509,637 : x
  2. Step 2: Convert to fraction form
    233,013/509,637 = 509,637/x
  3. Step 3: Cross multiply
    233,013x = 509,637 × 509,637
  4. Step 4: Simplify right side
    233,013x = 259,729,871,769
  5. Step 5: Solve for x
    x = 259,729,871,769/233,013
  6. Step 6: Final answer
    x = 1,114,658.29

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.