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Finding the Third Proportional to 443,827.50 and 970,689

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Solution

The third proportional to 443,827.50 and 970,689 is: 2,122,980.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    443,827.50 : 970,689 = 970,689 : x
  2. Step 2: Convert to fraction form
    443,827.50/970,689 = 970,689/x
  3. Step 3: Cross multiply
    443,827.50x = 970,689 × 970,689
  4. Step 4: Simplify right side
    443,827.50x = 942,237,134,721
  5. Step 5: Solve for x
    x = 942,237,134,721/443,827.50
  6. Step 6: Final answer
    x = 2,122,980.52

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.