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Finding the Third Proportional to 370,119 and 557,916

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Solution

The third proportional to 370,119 and 557,916 is: 841,000.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    370,119 : 557,916 = 557,916 : x
  2. Step 2: Convert to fraction form
    370,119/557,916 = 557,916/x
  3. Step 3: Cross multiply
    370,119x = 557,916 × 557,916
  4. Step 4: Simplify right side
    370,119x = 311,270,263,056
  5. Step 5: Solve for x
    x = 311,270,263,056/370,119
  6. Step 6: Final answer
    x = 841,000.50

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.