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Finding the Third Proportional to 499,737 and 794,794.50

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Solution

The third proportional to 499,737 and 794,794.50 is: 1,264,061.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    499,737 : 794,794.50 = 794,794.50 : x
  2. Step 2: Convert to fraction form
    499,737/794,794.50 = 794,794.50/x
  3. Step 3: Cross multiply
    499,737x = 794,794.50 × 794,794.50
  4. Step 4: Simplify right side
    499,737x = 631,698,297,230.25
  5. Step 5: Solve for x
    x = 631,698,297,230.25/499,737
  6. Step 6: Final answer
    x = 1,264,061.49

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.