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Finding the Third Proportional to 302,052 and 705,450

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Solution

The third proportional to 302,052 and 705,450 is: 1,647,596.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,052 : 705,450 = 705,450 : x
  2. Step 2: Convert to fraction form
    302,052/705,450 = 705,450/x
  3. Step 3: Cross multiply
    302,052x = 705,450 × 705,450
  4. Step 4: Simplify right side
    302,052x = 497,659,702,500
  5. Step 5: Solve for x
    x = 497,659,702,500/302,052
  6. Step 6: Final answer
    x = 1,647,596.12

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.