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Finding the Third Proportional to 298,759.50 and 653,463

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Solution

The third proportional to 298,759.50 and 653,463 is: 1,429,289.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,759.50 : 653,463 = 653,463 : x
  2. Step 2: Convert to fraction form
    298,759.50/653,463 = 653,463/x
  3. Step 3: Cross multiply
    298,759.50x = 653,463 × 653,463
  4. Step 4: Simplify right side
    298,759.50x = 427,013,892,369
  5. Step 5: Solve for x
    x = 427,013,892,369/298,759.50
  6. Step 6: Final answer
    x = 1,429,289.75

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.