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Finding the Third Proportional to 369,466 and 794,184

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Solution

The third proportional to 369,466 and 794,184 is: 1,707,134.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,466 : 794,184 = 794,184 : x
  2. Step 2: Convert to fraction form
    369,466/794,184 = 794,184/x
  3. Step 3: Cross multiply
    369,466x = 794,184 × 794,184
  4. Step 4: Simplify right side
    369,466x = 630,728,225,856
  5. Step 5: Solve for x
    x = 630,728,225,856/369,466
  6. Step 6: Final answer
    x = 1,707,134.69

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.