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Finding the Third Proportional to 550,561.50 and 833,436

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Solution

The third proportional to 550,561.50 and 833,436 is: 1,261,649.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    550,561.50 : 833,436 = 833,436 : x
  2. Step 2: Convert to fraction form
    550,561.50/833,436 = 833,436/x
  3. Step 3: Cross multiply
    550,561.50x = 833,436 × 833,436
  4. Step 4: Simplify right side
    550,561.50x = 694,615,566,096
  5. Step 5: Solve for x
    x = 694,615,566,096/550,561.50
  6. Step 6: Final answer
    x = 1,261,649.36

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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.