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Finding the Third Proportional to 383,016 and 536,716

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Solution

The third proportional to 383,016 and 536,716 is: 752,094.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,016 : 536,716 = 536,716 : x
  2. Step 2: Convert to fraction form
    383,016/536,716 = 536,716/x
  3. Step 3: Cross multiply
    383,016x = 536,716 × 536,716
  4. Step 4: Simplify right side
    383,016x = 288,064,064,656
  5. Step 5: Solve for x
    x = 288,064,064,656/383,016
  6. Step 6: Final answer
    x = 752,094.08

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.