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Finding the Third Proportional to 332,590 and 780,850

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Solution

The third proportional to 332,590 and 780,850 is: 1,833,268.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    332,590 : 780,850 = 780,850 : x
  2. Step 2: Convert to fraction form
    332,590/780,850 = 780,850/x
  3. Step 3: Cross multiply
    332,590x = 780,850 × 780,850
  4. Step 4: Simplify right side
    332,590x = 609,726,722,500
  5. Step 5: Solve for x
    x = 609,726,722,500/332,590
  6. Step 6: Final answer
    x = 1,833,268.36

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.