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Finding the Third Proportional to 316,146 and 562,119

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Solution

The third proportional to 316,146 and 562,119 is: 999,467.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,146 : 562,119 = 562,119 : x
  2. Step 2: Convert to fraction form
    316,146/562,119 = 562,119/x
  3. Step 3: Cross multiply
    316,146x = 562,119 × 562,119
  4. Step 4: Simplify right side
    316,146x = 315,977,770,161
  5. Step 5: Solve for x
    x = 315,977,770,161/316,146
  6. Step 6: Final answer
    x = 999,467.87

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Why These Related Problems?

These problems maintain the same ratio (1.78) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.