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Finding the Third Proportional to 369,461 and 794,176

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Solution

The third proportional to 369,461 and 794,176 is: 1,707,123.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,461 : 794,176 = 794,176 : x
  2. Step 2: Convert to fraction form
    369,461/794,176 = 794,176/x
  3. Step 3: Cross multiply
    369,461x = 794,176 × 794,176
  4. Step 4: Simplify right side
    369,461x = 630,715,518,976
  5. Step 5: Solve for x
    x = 630,715,518,976/369,461
  6. Step 6: Final answer
    x = 1,707,123.40

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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.