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Finding the Third Proportional to 466,360 and 684,230

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Solution

The third proportional to 466,360 and 684,230 is: 1,003,882.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    466,360 : 684,230 = 684,230 : x
  2. Step 2: Convert to fraction form
    466,360/684,230 = 684,230/x
  3. Step 3: Cross multiply
    466,360x = 684,230 × 684,230
  4. Step 4: Simplify right side
    466,360x = 468,170,692,900
  5. Step 5: Solve for x
    x = 468,170,692,900/466,360
  6. Step 6: Final answer
    x = 1,003,882.61

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.