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Finding the Third Proportional to 443,783 and 721,018

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Solution

The third proportional to 443,783 and 721,018 is: 1,171,444.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    443,783 : 721,018 = 721,018 : x
  2. Step 2: Convert to fraction form
    443,783/721,018 = 721,018/x
  3. Step 3: Cross multiply
    443,783x = 721,018 × 721,018
  4. Step 4: Simplify right side
    443,783x = 519,866,956,324
  5. Step 5: Solve for x
    x = 519,866,956,324/443,783
  6. Step 6: Final answer
    x = 1,171,444.05

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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.