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Finding the Third Proportional to 466,420 and 713,150

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Solution

The third proportional to 466,420 and 713,150 is: 1,090,396.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    466,420 : 713,150 = 713,150 : x
  2. Step 2: Convert to fraction form
    466,420/713,150 = 713,150/x
  3. Step 3: Cross multiply
    466,420x = 713,150 × 713,150
  4. Step 4: Simplify right side
    466,420x = 508,582,922,500
  5. Step 5: Solve for x
    x = 508,582,922,500/466,420
  6. Step 6: Final answer
    x = 1,090,396.90

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.