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Finding the Third Proportional to 315,228 and 471,726

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Solution

The third proportional to 315,228 and 471,726 is: 705,918.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,228 : 471,726 = 471,726 : x
  2. Step 2: Convert to fraction form
    315,228/471,726 = 471,726/x
  3. Step 3: Cross multiply
    315,228x = 471,726 × 471,726
  4. Step 4: Simplify right side
    315,228x = 222,525,419,076
  5. Step 5: Solve for x
    x = 222,525,419,076/315,228
  6. Step 6: Final answer
    x = 705,918.95

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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.