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Finding the Third Proportional to 370,819 and 794,125

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Solution

The third proportional to 370,819 and 794,125 is: 1,700,653.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    370,819 : 794,125 = 794,125 : x
  2. Step 2: Convert to fraction form
    370,819/794,125 = 794,125/x
  3. Step 3: Cross multiply
    370,819x = 794,125 × 794,125
  4. Step 4: Simplify right side
    370,819x = 630,634,515,625
  5. Step 5: Solve for x
    x = 630,634,515,625/370,819
  6. Step 6: Final answer
    x = 1,700,653.19

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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.