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Finding the Third Proportional to 298,732.50 and 645,005

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Solution

The third proportional to 298,732.50 and 645,005 is: 1,392,655.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,732.50 : 645,005 = 645,005 : x
  2. Step 2: Convert to fraction form
    298,732.50/645,005 = 645,005/x
  3. Step 3: Cross multiply
    298,732.50x = 645,005 × 645,005
  4. Step 4: Simplify right side
    298,732.50x = 416,031,450,025
  5. Step 5: Solve for x
    x = 416,031,450,025/298,732.50
  6. Step 6: Final answer
    x = 1,392,655.47

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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.