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Finding the Third Proportional to 443,758.50 and 970,461

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Solution

The third proportional to 443,758.50 and 970,461 is: 2,122,313.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    443,758.50 : 970,461 = 970,461 : x
  2. Step 2: Convert to fraction form
    443,758.50/970,461 = 970,461/x
  3. Step 3: Cross multiply
    443,758.50x = 970,461 × 970,461
  4. Step 4: Simplify right side
    443,758.50x = 941,794,552,521
  5. Step 5: Solve for x
    x = 941,794,552,521/443,758.50
  6. Step 6: Final answer
    x = 2,122,313.27

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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.