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Finding the Third Proportional to 253,313 and 395,305.50

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Solution

The third proportional to 253,313 and 395,305.50 is: 616,890.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,313 : 395,305.50 = 395,305.50 : x
  2. Step 2: Convert to fraction form
    253,313/395,305.50 = 395,305.50/x
  3. Step 3: Cross multiply
    253,313x = 395,305.50 × 395,305.50
  4. Step 4: Simplify right side
    253,313x = 156,266,438,330.25
  5. Step 5: Solve for x
    x = 156,266,438,330.25/253,313
  6. Step 6: Final answer
    x = 616,890.72

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.