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Finding the Third Proportional to 317,001 and 470,259

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Solution

The third proportional to 317,001 and 470,259 is: 697,611.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,001 : 470,259 = 470,259 : x
  2. Step 2: Convert to fraction form
    317,001/470,259 = 470,259/x
  3. Step 3: Cross multiply
    317,001x = 470,259 × 470,259
  4. Step 4: Simplify right side
    317,001x = 221,143,527,081
  5. Step 5: Solve for x
    x = 221,143,527,081/317,001
  6. Step 6: Final answer
    x = 697,611.45

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.