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Finding the Third Proportional to 343,494 and 732,638

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Solution

The third proportional to 343,494 and 732,638 is: 1,562,642.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,494 : 732,638 = 732,638 : x
  2. Step 2: Convert to fraction form
    343,494/732,638 = 732,638/x
  3. Step 3: Cross multiply
    343,494x = 732,638 × 732,638
  4. Step 4: Simplify right side
    343,494x = 536,758,439,044
  5. Step 5: Solve for x
    x = 536,758,439,044/343,494
  6. Step 6: Final answer
    x = 1,562,642.84

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.