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Finding the Third Proportional to 240,911 and 374,705.50

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Solution

The third proportional to 240,911 and 374,705.50 is: 582,805.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    240,911 : 374,705.50 = 374,705.50 : x
  2. Step 2: Convert to fraction form
    240,911/374,705.50 = 374,705.50/x
  3. Step 3: Cross multiply
    240,911x = 374,705.50 × 374,705.50
  4. Step 4: Simplify right side
    240,911x = 140,404,211,730.25
  5. Step 5: Solve for x
    x = 140,404,211,730.25/240,911
  6. Step 6: Final answer
    x = 582,805.32

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.