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Finding the Third Proportional to 356,868 and 484,434

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Solution

The third proportional to 356,868 and 484,434 is: 657,599.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,868 : 484,434 = 484,434 : x
  2. Step 2: Convert to fraction form
    356,868/484,434 = 484,434/x
  3. Step 3: Cross multiply
    356,868x = 484,434 × 484,434
  4. Step 4: Simplify right side
    356,868x = 234,676,300,356
  5. Step 5: Solve for x
    x = 234,676,300,356/356,868
  6. Step 6: Final answer
    x = 657,599.73

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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.