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Finding the Third Proportional to 326,518 and 494,706

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Solution

The third proportional to 326,518 and 494,706 is: 749,526.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    326,518 : 494,706 = 494,706 : x
  2. Step 2: Convert to fraction form
    326,518/494,706 = 494,706/x
  3. Step 3: Cross multiply
    326,518x = 494,706 × 494,706
  4. Step 4: Simplify right side
    326,518x = 244,734,026,436
  5. Step 5: Solve for x
    x = 244,734,026,436/326,518
  6. Step 6: Final answer
    x = 749,526.91

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.