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Finding the Third Proportional to 233,011 and 509,633

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Solution

The third proportional to 233,011 and 509,633 is: 1,114,650.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,011 : 509,633 = 509,633 : x
  2. Step 2: Convert to fraction form
    233,011/509,633 = 509,633/x
  3. Step 3: Cross multiply
    233,011x = 509,633 × 509,633
  4. Step 4: Simplify right side
    233,011x = 259,725,794,689
  5. Step 5: Solve for x
    x = 259,725,794,689/233,011
  6. Step 6: Final answer
    x = 1,114,650.36

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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.