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Finding the Third Proportional to 233,652 and 510,549

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Solution

The third proportional to 233,652 and 510,549 is: 1,115,591.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,652 : 510,549 = 510,549 : x
  2. Step 2: Convert to fraction form
    233,652/510,549 = 510,549/x
  3. Step 3: Cross multiply
    233,652x = 510,549 × 510,549
  4. Step 4: Simplify right side
    233,652x = 260,660,281,401
  5. Step 5: Solve for x
    x = 260,660,281,401/233,652
  6. Step 6: Final answer
    x = 1,115,591.91

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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.