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Finding the Third Proportional to 312,536 and 483,636

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Solution

The third proportional to 312,536 and 483,636 is: 748,405.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,536 : 483,636 = 483,636 : x
  2. Step 2: Convert to fraction form
    312,536/483,636 = 483,636/x
  3. Step 3: Cross multiply
    312,536x = 483,636 × 483,636
  4. Step 4: Simplify right side
    312,536x = 233,903,780,496
  5. Step 5: Solve for x
    x = 233,903,780,496/312,536
  6. Step 6: Final answer
    x = 748,405.88

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.