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Finding the Third Proportional to 356,876 and 484,444

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Solution

The third proportional to 356,876 and 484,444 is: 657,612.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,876 : 484,444 = 484,444 : x
  2. Step 2: Convert to fraction form
    356,876/484,444 = 484,444/x
  3. Step 3: Cross multiply
    356,876x = 484,444 × 484,444
  4. Step 4: Simplify right side
    356,876x = 234,685,989,136
  5. Step 5: Solve for x
    x = 234,685,989,136/356,876
  6. Step 6: Final answer
    x = 657,612.14

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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.