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Finding the Third Proportional to 348,749 and 493,615.50

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Solution

The third proportional to 348,749 and 493,615.50 is: 698,657.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    348,749 : 493,615.50 = 493,615.50 : x
  2. Step 2: Convert to fraction form
    348,749/493,615.50 = 493,615.50/x
  3. Step 3: Cross multiply
    348,749x = 493,615.50 × 493,615.50
  4. Step 4: Simplify right side
    348,749x = 243,656,261,840.25
  5. Step 5: Solve for x
    x = 243,656,261,840.25/348,749
  6. Step 6: Final answer
    x = 698,657.95

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These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.