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Finding the Third Proportional to 342,768 and 744,000

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Solution

The third proportional to 342,768 and 744,000 is: 1,614,899.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,768 : 744,000 = 744,000 : x
  2. Step 2: Convert to fraction form
    342,768/744,000 = 744,000/x
  3. Step 3: Cross multiply
    342,768x = 744,000 × 744,000
  4. Step 4: Simplify right side
    342,768x = 553,536,000,000
  5. Step 5: Solve for x
    x = 553,536,000,000/342,768
  6. Step 6: Final answer
    x = 1,614,899.87

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.