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Finding the Third Proportional to 496,995 and 662,158.50

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Solution

The third proportional to 496,995 and 662,158.50 is: 882,209.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    496,995 : 662,158.50 = 662,158.50 : x
  2. Step 2: Convert to fraction form
    496,995/662,158.50 = 662,158.50/x
  3. Step 3: Cross multiply
    496,995x = 662,158.50 × 662,158.50
  4. Step 4: Simplify right side
    496,995x = 438,453,879,122.25
  5. Step 5: Solve for x
    x = 438,453,879,122.25/496,995
  6. Step 6: Final answer
    x = 882,209.84

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These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.