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Finding the Third Proportional to 363,482 and 771,028

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Solution

The third proportional to 363,482 and 771,028 is: 1,635,525.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    363,482 : 771,028 = 771,028 : x
  2. Step 2: Convert to fraction form
    363,482/771,028 = 771,028/x
  3. Step 3: Cross multiply
    363,482x = 771,028 × 771,028
  4. Step 4: Simplify right side
    363,482x = 594,484,176,784
  5. Step 5: Solve for x
    x = 594,484,176,784/363,482
  6. Step 6: Final answer
    x = 1,635,525.77

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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.