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Finding the Third Proportional to 443,966 and 721,312

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Solution

The third proportional to 443,966 and 721,312 is: 1,171,916.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    443,966 : 721,312 = 721,312 : x
  2. Step 2: Convert to fraction form
    443,966/721,312 = 721,312/x
  3. Step 3: Cross multiply
    443,966x = 721,312 × 721,312
  4. Step 4: Simplify right side
    443,966x = 520,291,001,344
  5. Step 5: Solve for x
    x = 520,291,001,344/443,966
  6. Step 6: Final answer
    x = 1,171,916.32

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Why These Related Problems?

These problems maintain the same ratio (1.62) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.