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Finding the Third Proportional to 301,830 and 639,640.50

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Solution

The third proportional to 301,830 and 639,640.50 is: 1,355,531.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,830 : 639,640.50 = 639,640.50 : x
  2. Step 2: Convert to fraction form
    301,830/639,640.50 = 639,640.50/x
  3. Step 3: Cross multiply
    301,830x = 639,640.50 × 639,640.50
  4. Step 4: Simplify right side
    301,830x = 409,139,969,240.25
  5. Step 5: Solve for x
    x = 409,139,969,240.25/301,830
  6. Step 6: Final answer
    x = 1,355,531.16

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.