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Finding the Third Proportional to 262,600.50 and 374,970

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Solution

The third proportional to 262,600.50 and 374,970 is: 535,423.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,600.50 : 374,970 = 374,970 : x
  2. Step 2: Convert to fraction form
    262,600.50/374,970 = 374,970/x
  3. Step 3: Cross multiply
    262,600.50x = 374,970 × 374,970
  4. Step 4: Simplify right side
    262,600.50x = 140,602,500,900
  5. Step 5: Solve for x
    x = 140,602,500,900/262,600.50
  6. Step 6: Final answer
    x = 535,423.58

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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.