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Finding the Third Proportional to 285,224 and 448,608

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Solution

The third proportional to 285,224 and 448,608 is: 705,582.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,224 : 448,608 = 448,608 : x
  2. Step 2: Convert to fraction form
    285,224/448,608 = 448,608/x
  3. Step 3: Cross multiply
    285,224x = 448,608 × 448,608
  4. Step 4: Simplify right side
    285,224x = 201,249,137,664
  5. Step 5: Solve for x
    x = 201,249,137,664/285,224
  6. Step 6: Final answer
    x = 705,582.76

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.