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Finding the Third Proportional to 341,764 and 512,478

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Solution

The third proportional to 341,764 and 512,478 is: 768,465.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,764 : 512,478 = 512,478 : x
  2. Step 2: Convert to fraction form
    341,764/512,478 = 512,478/x
  3. Step 3: Cross multiply
    341,764x = 512,478 × 512,478
  4. Step 4: Simplify right side
    341,764x = 262,633,700,484
  5. Step 5: Solve for x
    x = 262,633,700,484/341,764
  6. Step 6: Final answer
    x = 768,465.08

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.