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Finding the Third Proportional to 297,600 and 417,152

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Solution

The third proportional to 297,600 and 417,152 is: 584,730.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,600 : 417,152 = 417,152 : x
  2. Step 2: Convert to fraction form
    297,600/417,152 = 417,152/x
  3. Step 3: Cross multiply
    297,600x = 417,152 × 417,152
  4. Step 4: Simplify right side
    297,600x = 174,015,791,104
  5. Step 5: Solve for x
    x = 174,015,791,104/297,600
  6. Step 6: Final answer
    x = 584,730.48

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.