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Finding the Third Proportional to 412,596 and 556,686

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Solution

The third proportional to 412,596 and 556,686 is: 751,096.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,596 : 556,686 = 556,686 : x
  2. Step 2: Convert to fraction form
    412,596/556,686 = 556,686/x
  3. Step 3: Cross multiply
    412,596x = 556,686 × 556,686
  4. Step 4: Simplify right side
    412,596x = 309,899,302,596
  5. Step 5: Solve for x
    x = 309,899,302,596/412,596
  6. Step 6: Final answer
    x = 751,096.24

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.