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Finding the Third Proportional to 235,386 and 483,165

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Solution

The third proportional to 235,386 and 483,165 is: 991,768.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,386 : 483,165 = 483,165 : x
  2. Step 2: Convert to fraction form
    235,386/483,165 = 483,165/x
  3. Step 3: Cross multiply
    235,386x = 483,165 × 483,165
  4. Step 4: Simplify right side
    235,386x = 233,448,417,225
  5. Step 5: Solve for x
    x = 233,448,417,225/235,386
  6. Step 6: Final answer
    x = 991,768.49

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.