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Finding the Third Proportional to 318,894 and 494,485.50

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Solution

The third proportional to 318,894 and 494,485.50 is: 766,762.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    318,894 : 494,485.50 = 494,485.50 : x
  2. Step 2: Convert to fraction form
    318,894/494,485.50 = 494,485.50/x
  3. Step 3: Cross multiply
    318,894x = 494,485.50 × 494,485.50
  4. Step 4: Simplify right side
    318,894x = 244,515,909,710.25
  5. Step 5: Solve for x
    x = 244,515,909,710.25/318,894
  6. Step 6: Final answer
    x = 766,762.34

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.