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Finding the Third Proportional to 355,054 and 775,124

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Solution

The third proportional to 355,054 and 775,124 is: 1,692,185.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,054 : 775,124 = 775,124 : x
  2. Step 2: Convert to fraction form
    355,054/775,124 = 775,124/x
  3. Step 3: Cross multiply
    355,054x = 775,124 × 775,124
  4. Step 4: Simplify right side
    355,054x = 600,817,215,376
  5. Step 5: Solve for x
    x = 600,817,215,376/355,054
  6. Step 6: Final answer
    x = 1,692,185.46

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.