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Finding the Third Proportional to 317,638 and 698,248

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Solution

The third proportional to 317,638 and 698,248 is: 1,534,924.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,638 : 698,248 = 698,248 : x
  2. Step 2: Convert to fraction form
    317,638/698,248 = 698,248/x
  3. Step 3: Cross multiply
    317,638x = 698,248 × 698,248
  4. Step 4: Simplify right side
    317,638x = 487,550,269,504
  5. Step 5: Solve for x
    x = 487,550,269,504/317,638
  6. Step 6: Final answer
    x = 1,534,924.25

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.