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Finding the Third Proportional to 466,512 and 742,670

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Solution

The third proportional to 466,512 and 742,670 is: 1,182,303.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    466,512 : 742,670 = 742,670 : x
  2. Step 2: Convert to fraction form
    466,512/742,670 = 742,670/x
  3. Step 3: Cross multiply
    466,512x = 742,670 × 742,670
  4. Step 4: Simplify right side
    466,512x = 551,558,728,900
  5. Step 5: Solve for x
    x = 551,558,728,900/466,512
  6. Step 6: Final answer
    x = 1,182,303.41

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.