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Finding the Third Proportional to 323,458 and 701,894

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Solution

The third proportional to 323,458 and 701,894 is: 1,523,088.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,458 : 701,894 = 701,894 : x
  2. Step 2: Convert to fraction form
    323,458/701,894 = 701,894/x
  3. Step 3: Cross multiply
    323,458x = 701,894 × 701,894
  4. Step 4: Simplify right side
    323,458x = 492,655,187,236
  5. Step 5: Solve for x
    x = 492,655,187,236/323,458
  6. Step 6: Final answer
    x = 1,523,088.58

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.