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Finding the Third Proportional to 312,008 and 483,900

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Solution

The third proportional to 312,008 and 483,900 is: 750,491.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,008 : 483,900 = 483,900 : x
  2. Step 2: Convert to fraction form
    312,008/483,900 = 483,900/x
  3. Step 3: Cross multiply
    312,008x = 483,900 × 483,900
  4. Step 4: Simplify right side
    312,008x = 234,159,210,000
  5. Step 5: Solve for x
    x = 234,159,210,000/312,008
  6. Step 6: Final answer
    x = 750,491.05

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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.