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Finding the Third Proportional to 237,468 and 483,708

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Solution

The third proportional to 237,468 and 483,708 is: 985,284.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,468 : 483,708 = 483,708 : x
  2. Step 2: Convert to fraction form
    237,468/483,708 = 483,708/x
  3. Step 3: Cross multiply
    237,468x = 483,708 × 483,708
  4. Step 4: Simplify right side
    237,468x = 233,973,429,264
  5. Step 5: Solve for x
    x = 233,973,429,264/237,468
  6. Step 6: Final answer
    x = 985,284.04

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.