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Finding the Third Proportional to 301,815 and 639,607.50

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Solution

The third proportional to 301,815 and 639,607.50 is: 1,355,458.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,815 : 639,607.50 = 639,607.50 : x
  2. Step 2: Convert to fraction form
    301,815/639,607.50 = 639,607.50/x
  3. Step 3: Cross multiply
    301,815x = 639,607.50 × 639,607.50
  4. Step 4: Simplify right side
    301,815x = 409,097,754,056.25
  5. Step 5: Solve for x
    x = 409,097,754,056.25/301,815
  6. Step 6: Final answer
    x = 1,355,458.66

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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.