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Finding the Third Proportional to 240,411 and 366,973

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Solution

The third proportional to 240,411 and 366,973 is: 560,162.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    240,411 : 366,973 = 366,973 : x
  2. Step 2: Convert to fraction form
    240,411/366,973 = 366,973/x
  3. Step 3: Cross multiply
    240,411x = 366,973 × 366,973
  4. Step 4: Simplify right side
    240,411x = 134,669,182,729
  5. Step 5: Solve for x
    x = 134,669,182,729/240,411
  6. Step 6: Final answer
    x = 560,162.32

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.