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Finding the Third Proportional to 450,907 and 675,118

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Solution

The third proportional to 450,907 and 675,118 is: 1,010,816.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    450,907 : 675,118 = 675,118 : x
  2. Step 2: Convert to fraction form
    450,907/675,118 = 675,118/x
  3. Step 3: Cross multiply
    450,907x = 675,118 × 675,118
  4. Step 4: Simplify right side
    450,907x = 455,784,313,924
  5. Step 5: Solve for x
    x = 455,784,313,924/450,907
  6. Step 6: Final answer
    x = 1,010,816.67

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.