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Finding the Third Proportional to 261,093 and 393,718.50

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Solution

The third proportional to 261,093 and 393,718.50 is: 593,712.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,093 : 393,718.50 = 393,718.50 : x
  2. Step 2: Convert to fraction form
    261,093/393,718.50 = 393,718.50/x
  3. Step 3: Cross multiply
    261,093x = 393,718.50 × 393,718.50
  4. Step 4: Simplify right side
    261,093x = 155,014,257,242.25
  5. Step 5: Solve for x
    x = 155,014,257,242.25/261,093
  6. Step 6: Final answer
    x = 593,712.80

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.