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Finding the Third Proportional to 233,209 and 515,423

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Solution

The third proportional to 233,209 and 515,423 is: 1,139,153.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,209 : 515,423 = 515,423 : x
  2. Step 2: Convert to fraction form
    233,209/515,423 = 515,423/x
  3. Step 3: Cross multiply
    233,209x = 515,423 × 515,423
  4. Step 4: Simplify right side
    233,209x = 265,660,868,929
  5. Step 5: Solve for x
    x = 265,660,868,929/233,209
  6. Step 6: Final answer
    x = 1,139,153.59

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.