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Finding the Third Proportional to 369,036 and 471,558

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Solution

The third proportional to 369,036 and 471,558 is: 602,561.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,036 : 471,558 = 471,558 : x
  2. Step 2: Convert to fraction form
    369,036/471,558 = 471,558/x
  3. Step 3: Cross multiply
    369,036x = 471,558 × 471,558
  4. Step 4: Simplify right side
    369,036x = 222,366,947,364
  5. Step 5: Solve for x
    x = 222,366,947,364/369,036
  6. Step 6: Final answer
    x = 602,561.67

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Why These Related Problems?

These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.