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Finding the Third Proportional to 335,408 and 455,752

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Solution

The third proportional to 335,408 and 455,752 is: 619,275.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    335,408 : 455,752 = 455,752 : x
  2. Step 2: Convert to fraction form
    335,408/455,752 = 455,752/x
  3. Step 3: Cross multiply
    335,408x = 455,752 × 455,752
  4. Step 4: Simplify right side
    335,408x = 207,709,885,504
  5. Step 5: Solve for x
    x = 207,709,885,504/335,408
  6. Step 6: Final answer
    x = 619,275.29

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.