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Finding the Third Proportional to 363,483 and 771,030

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Solution

The third proportional to 363,483 and 771,030 is: 1,635,529.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    363,483 : 771,030 = 771,030 : x
  2. Step 2: Convert to fraction form
    363,483/771,030 = 771,030/x
  3. Step 3: Cross multiply
    363,483x = 771,030 × 771,030
  4. Step 4: Simplify right side
    363,483x = 594,487,260,900
  5. Step 5: Solve for x
    x = 594,487,260,900/363,483
  6. Step 6: Final answer
    x = 1,635,529.75

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.