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Finding the Third Proportional to 296,496 and 638,020.50

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Solution

The third proportional to 296,496 and 638,020.50 is: 1,372,936.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,496 : 638,020.50 = 638,020.50 : x
  2. Step 2: Convert to fraction form
    296,496/638,020.50 = 638,020.50/x
  3. Step 3: Cross multiply
    296,496x = 638,020.50 × 638,020.50
  4. Step 4: Simplify right side
    296,496x = 407,070,158,420.25
  5. Step 5: Solve for x
    x = 407,070,158,420.25/296,496
  6. Step 6: Final answer
    x = 1,372,936.43

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.