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Finding the Third Proportional to 550,482 and 850,773

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Solution

The third proportional to 550,482 and 850,773 is: 1,314,874.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    550,482 : 850,773 = 850,773 : x
  2. Step 2: Convert to fraction form
    550,482/850,773 = 850,773/x
  3. Step 3: Cross multiply
    550,482x = 850,773 × 850,773
  4. Step 4: Simplify right side
    550,482x = 723,814,697,529
  5. Step 5: Solve for x
    x = 723,814,697,529/550,482
  6. Step 6: Final answer
    x = 1,314,874.41

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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.