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Finding the Third Proportional to 332,904 and 514,890

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Solution

The third proportional to 332,904 and 514,890 is: 796,360.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    332,904 : 514,890 = 514,890 : x
  2. Step 2: Convert to fraction form
    332,904/514,890 = 514,890/x
  3. Step 3: Cross multiply
    332,904x = 514,890 × 514,890
  4. Step 4: Simplify right side
    332,904x = 265,111,712,100
  5. Step 5: Solve for x
    x = 265,111,712,100/332,904
  6. Step 6: Final answer
    x = 796,360.85

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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.