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Finding the Third Proportional to 272,312 and 380,892

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Solution

The third proportional to 272,312 and 380,892 is: 532,766.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,312 : 380,892 = 380,892 : x
  2. Step 2: Convert to fraction form
    272,312/380,892 = 380,892/x
  3. Step 3: Cross multiply
    272,312x = 380,892 × 380,892
  4. Step 4: Simplify right side
    272,312x = 145,078,715,664
  5. Step 5: Solve for x
    x = 145,078,715,664/272,312
  6. Step 6: Final answer
    x = 532,766.52

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.