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Finding the Third Proportional to 317,018 and 470,288

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Solution

The third proportional to 317,018 and 470,288 is: 697,660.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,018 : 470,288 = 470,288 : x
  2. Step 2: Convert to fraction form
    317,018/470,288 = 470,288/x
  3. Step 3: Cross multiply
    317,018x = 470,288 × 470,288
  4. Step 4: Simplify right side
    317,018x = 221,170,802,944
  5. Step 5: Solve for x
    x = 221,170,802,944/317,018
  6. Step 6: Final answer
    x = 697,660.08

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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.