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Finding the Third Proportional to 477,072 and 668,610

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Solution

The third proportional to 477,072 and 668,610 is: 937,047.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    477,072 : 668,610 = 668,610 : x
  2. Step 2: Convert to fraction form
    477,072/668,610 = 668,610/x
  3. Step 3: Cross multiply
    477,072x = 668,610 × 668,610
  4. Step 4: Simplify right side
    477,072x = 447,039,332,100
  5. Step 5: Solve for x
    x = 447,039,332,100/477,072
  6. Step 6: Final answer
    x = 937,047.93

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.