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Finding the Third Proportional to 264,411 and 385,542

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Solution

The third proportional to 264,411 and 385,542 is: 562,165.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,411 : 385,542 = 385,542 : x
  2. Step 2: Convert to fraction form
    264,411/385,542 = 385,542/x
  3. Step 3: Cross multiply
    264,411x = 385,542 × 385,542
  4. Step 4: Simplify right side
    264,411x = 148,642,633,764
  5. Step 5: Solve for x
    x = 148,642,633,764/264,411
  6. Step 6: Final answer
    x = 562,165.09

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.