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Finding the Third Proportional to 454,740 and 757,854

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Solution

The third proportional to 454,740 and 757,854 is: 1,263,013.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    454,740 : 757,854 = 757,854 : x
  2. Step 2: Convert to fraction form
    454,740/757,854 = 757,854/x
  3. Step 3: Cross multiply
    454,740x = 757,854 × 757,854
  4. Step 4: Simplify right side
    454,740x = 574,342,685,316
  5. Step 5: Solve for x
    x = 574,342,685,316/454,740
  6. Step 6: Final answer
    x = 1,263,013.34

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.