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Finding the Third Proportional to 286,752 and 401,166

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Solution

The third proportional to 286,752 and 401,166 is: 561,231.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,752 : 401,166 = 401,166 : x
  2. Step 2: Convert to fraction form
    286,752/401,166 = 401,166/x
  3. Step 3: Cross multiply
    286,752x = 401,166 × 401,166
  4. Step 4: Simplify right side
    286,752x = 160,934,159,556
  5. Step 5: Solve for x
    x = 160,934,159,556/286,752
  6. Step 6: Final answer
    x = 561,231.17

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.