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Finding the Third Proportional to 598,426 and 874,494

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Solution

The third proportional to 598,426 and 874,494 is: 1,277,918.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    598,426 : 874,494 = 874,494 : x
  2. Step 2: Convert to fraction form
    598,426/874,494 = 874,494/x
  3. Step 3: Cross multiply
    598,426x = 874,494 × 874,494
  4. Step 4: Simplify right side
    598,426x = 764,739,756,036
  5. Step 5: Solve for x
    x = 764,739,756,036/598,426
  6. Step 6: Final answer
    x = 1,277,918.67

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.