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Finding the Third Proportional to 334,756 and 692,684

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Solution

The third proportional to 334,756 and 692,684 is: 1,433,315.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,756 : 692,684 = 692,684 : x
  2. Step 2: Convert to fraction form
    334,756/692,684 = 692,684/x
  3. Step 3: Cross multiply
    334,756x = 692,684 × 692,684
  4. Step 4: Simplify right side
    334,756x = 479,811,123,856
  5. Step 5: Solve for x
    x = 479,811,123,856/334,756
  6. Step 6: Final answer
    x = 1,433,315.98

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.