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Finding the Third Proportional to 356,847 and 484,402.50

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Solution

The third proportional to 356,847 and 484,402.50 is: 657,552.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,847 : 484,402.50 = 484,402.50 : x
  2. Step 2: Convert to fraction form
    356,847/484,402.50 = 484,402.50/x
  3. Step 3: Cross multiply
    356,847x = 484,402.50 × 484,402.50
  4. Step 4: Simplify right side
    356,847x = 234,645,782,006.25
  5. Step 5: Solve for x
    x = 234,645,782,006.25/356,847
  6. Step 6: Final answer
    x = 657,552.91

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.