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Finding the Third Proportional to 332,913 and 514,906.50

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Solution

The third proportional to 332,913 and 514,906.50 is: 796,390.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    332,913 : 514,906.50 = 514,906.50 : x
  2. Step 2: Convert to fraction form
    332,913/514,906.50 = 514,906.50/x
  3. Step 3: Cross multiply
    332,913x = 514,906.50 × 514,906.50
  4. Step 4: Simplify right side
    332,913x = 265,128,703,742.25
  5. Step 5: Solve for x
    x = 265,128,703,742.25/332,913
  6. Step 6: Final answer
    x = 796,390.36

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.