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Finding the Third Proportional to 550,559.50 and 833,433

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Solution

The third proportional to 550,559.50 and 833,433 is: 1,261,644.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    550,559.50 : 833,433 = 833,433 : x
  2. Step 2: Convert to fraction form
    550,559.50/833,433 = 833,433/x
  3. Step 3: Cross multiply
    550,559.50x = 833,433 × 833,433
  4. Step 4: Simplify right side
    550,559.50x = 694,610,565,489
  5. Step 5: Solve for x
    x = 694,610,565,489/550,559.50
  6. Step 6: Final answer
    x = 1,261,644.86

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.