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Finding the Third Proportional to 304,831 and 470,157

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Solution

The third proportional to 304,831 and 470,157 is: 725,148.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,831 : 470,157 = 470,157 : x
  2. Step 2: Convert to fraction form
    304,831/470,157 = 470,157/x
  3. Step 3: Cross multiply
    304,831x = 470,157 × 470,157
  4. Step 4: Simplify right side
    304,831x = 221,047,604,649
  5. Step 5: Solve for x
    x = 221,047,604,649/304,831
  6. Step 6: Final answer
    x = 725,148.05

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.