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Finding the Third Proportional to 412,604 and 556,698

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Solution

The third proportional to 412,604 and 556,698 is: 751,114.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,604 : 556,698 = 556,698 : x
  2. Step 2: Convert to fraction form
    412,604/556,698 = 556,698/x
  3. Step 3: Cross multiply
    412,604x = 556,698 × 556,698
  4. Step 4: Simplify right side
    412,604x = 309,912,663,204
  5. Step 5: Solve for x
    x = 309,912,663,204/412,604
  6. Step 6: Final answer
    x = 751,114.05

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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.