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Finding the Third Proportional to 233,880 and 514,408

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Solution

The third proportional to 233,880 and 514,408 is: 1,131,416.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,880 : 514,408 = 514,408 : x
  2. Step 2: Convert to fraction form
    233,880/514,408 = 514,408/x
  3. Step 3: Cross multiply
    233,880x = 514,408 × 514,408
  4. Step 4: Simplify right side
    233,880x = 264,615,590,464
  5. Step 5: Solve for x
    x = 264,615,590,464/233,880
  6. Step 6: Final answer
    x = 1,131,416.07

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.