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Finding the Third Proportional to 424,604 and 662,745

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Solution

The third proportional to 424,604 and 662,745 is: 1,034,448.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    424,604 : 662,745 = 662,745 : x
  2. Step 2: Convert to fraction form
    424,604/662,745 = 662,745/x
  3. Step 3: Cross multiply
    424,604x = 662,745 × 662,745
  4. Step 4: Simplify right side
    424,604x = 439,230,935,025
  5. Step 5: Solve for x
    x = 439,230,935,025/424,604
  6. Step 6: Final answer
    x = 1,034,448.42

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.