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Finding the Third Proportional to 253,207 and 400,951.50

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Solution

The third proportional to 253,207 and 400,951.50 is: 634,903.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,207 : 400,951.50 = 400,951.50 : x
  2. Step 2: Convert to fraction form
    253,207/400,951.50 = 400,951.50/x
  3. Step 3: Cross multiply
    253,207x = 400,951.50 × 400,951.50
  4. Step 4: Simplify right side
    253,207x = 160,762,105,352.25
  5. Step 5: Solve for x
    x = 160,762,105,352.25/253,207
  6. Step 6: Final answer
    x = 634,903.87

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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.