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Finding the Third Proportional to 370,218 and 792,926

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Solution

The third proportional to 370,218 and 792,926 is: 1,698,274.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    370,218 : 792,926 = 792,926 : x
  2. Step 2: Convert to fraction form
    370,218/792,926 = 792,926/x
  3. Step 3: Cross multiply
    370,218x = 792,926 × 792,926
  4. Step 4: Simplify right side
    370,218x = 628,731,641,476
  5. Step 5: Solve for x
    x = 628,731,641,476/370,218
  6. Step 6: Final answer
    x = 1,698,274.10

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.