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Finding the Third Proportional to 425,667 and 634,803

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Solution

The third proportional to 425,667 and 634,803 is: 946,690.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    425,667 : 634,803 = 634,803 : x
  2. Step 2: Convert to fraction form
    425,667/634,803 = 634,803/x
  3. Step 3: Cross multiply
    425,667x = 634,803 × 634,803
  4. Step 4: Simplify right side
    425,667x = 402,974,848,809
  5. Step 5: Solve for x
    x = 402,974,848,809/425,667
  6. Step 6: Final answer
    x = 946,690.37

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.