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Finding the Third Proportional to 314,068 and 697,794

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Solution

The third proportional to 314,068 and 697,794 is: 1,550,353.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,068 : 697,794 = 697,794 : x
  2. Step 2: Convert to fraction form
    314,068/697,794 = 697,794/x
  3. Step 3: Cross multiply
    314,068x = 697,794 × 697,794
  4. Step 4: Simplify right side
    314,068x = 486,916,466,436
  5. Step 5: Solve for x
    x = 486,916,466,436/314,068
  6. Step 6: Final answer
    x = 1,550,353.64

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.