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Finding the Third Proportional to 470,236.50 and 704,259

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Solution

The third proportional to 470,236.50 and 704,259 is: 1,054,747.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,236.50 : 704,259 = 704,259 : x
  2. Step 2: Convert to fraction form
    470,236.50/704,259 = 704,259/x
  3. Step 3: Cross multiply
    470,236.50x = 704,259 × 704,259
  4. Step 4: Simplify right side
    470,236.50x = 495,980,739,081
  5. Step 5: Solve for x
    x = 495,980,739,081/470,236.50
  6. Step 6: Final answer
    x = 1,054,747.43

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.