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Finding the Third Proportional to 302,216 and 656,176

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Solution

The third proportional to 302,216 and 656,176 is: 1,424,699.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,216 : 656,176 = 656,176 : x
  2. Step 2: Convert to fraction form
    302,216/656,176 = 656,176/x
  3. Step 3: Cross multiply
    302,216x = 656,176 × 656,176
  4. Step 4: Simplify right side
    302,216x = 430,566,942,976
  5. Step 5: Solve for x
    x = 430,566,942,976/302,216
  6. Step 6: Final answer
    x = 1,424,699.36

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.