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Finding the Third Proportional to 334,294 and 696,236

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Solution

The third proportional to 334,294 and 696,236 is: 1,450,054.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,294 : 696,236 = 696,236 : x
  2. Step 2: Convert to fraction form
    334,294/696,236 = 696,236/x
  3. Step 3: Cross multiply
    334,294x = 696,236 × 696,236
  4. Step 4: Simplify right side
    334,294x = 484,744,567,696
  5. Step 5: Solve for x
    x = 484,744,567,696/334,294
  6. Step 6: Final answer
    x = 1,450,054.65

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.