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Finding the Third Proportional to 356,582 and 743,044

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Solution

The third proportional to 356,582 and 743,044 is: 1,548,351.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,582 : 743,044 = 743,044 : x
  2. Step 2: Convert to fraction form
    356,582/743,044 = 743,044/x
  3. Step 3: Cross multiply
    356,582x = 743,044 × 743,044
  4. Step 4: Simplify right side
    356,582x = 552,114,385,936
  5. Step 5: Solve for x
    x = 552,114,385,936/356,582
  6. Step 6: Final answer
    x = 1,548,351.81

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.