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Finding the Third Proportional to 463,226 and 692,112

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Solution

The third proportional to 463,226 and 692,112 is: 1,034,093.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,226 : 692,112 = 692,112 : x
  2. Step 2: Convert to fraction form
    463,226/692,112 = 692,112/x
  3. Step 3: Cross multiply
    463,226x = 692,112 × 692,112
  4. Step 4: Simplify right side
    463,226x = 479,019,020,544
  5. Step 5: Solve for x
    x = 479,019,020,544/463,226
  6. Step 6: Final answer
    x = 1,034,093.55

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.