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Finding the Third Proportional to 443,444.63 and 684,849.94

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Solution

The third proportional to 443,444.63 and 684,849.94 is: 1,057,673.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    443,444.63 : 684,849.94 = 684,849.94 : x
  2. Step 2: Convert to fraction form
    443,444.63/684,849.94 = 684,849.94/x
  3. Step 3: Cross multiply
    443,444.63x = 684,849.94 × 684,849.94
  4. Step 4: Simplify right side
    443,444.63x = 469,019,436,893.75
  5. Step 5: Solve for x
    x = 469,019,436,893.75/443,444.63
  6. Step 6: Final answer
    x = 1,057,673.07

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.