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Finding the Third Proportional to 558,906 and 790,083

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Solution

The third proportional to 558,906 and 790,083 is: 1,116,880.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    558,906 : 790,083 = 790,083 : x
  2. Step 2: Convert to fraction form
    558,906/790,083 = 790,083/x
  3. Step 3: Cross multiply
    558,906x = 790,083 × 790,083
  4. Step 4: Simplify right side
    558,906x = 624,231,146,889
  5. Step 5: Solve for x
    x = 624,231,146,889/558,906
  6. Step 6: Final answer
    x = 1,116,880.38

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.