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Finding the Third Proportional to 296,590.50 and 639,837

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Solution

The third proportional to 296,590.50 and 639,837 is: 1,380,325.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,590.50 : 639,837 = 639,837 : x
  2. Step 2: Convert to fraction form
    296,590.50/639,837 = 639,837/x
  3. Step 3: Cross multiply
    296,590.50x = 639,837 × 639,837
  4. Step 4: Simplify right side
    296,590.50x = 409,391,386,569
  5. Step 5: Solve for x
    x = 409,391,386,569/296,590.50
  6. Step 6: Final answer
    x = 1,380,325.35

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.