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Finding the Third Proportional to 454,746 and 757,863

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Solution

The third proportional to 454,746 and 757,863 is: 1,263,026.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    454,746 : 757,863 = 757,863 : x
  2. Step 2: Convert to fraction form
    454,746/757,863 = 757,863/x
  3. Step 3: Cross multiply
    454,746x = 757,863 × 757,863
  4. Step 4: Simplify right side
    454,746x = 574,356,326,769
  5. Step 5: Solve for x
    x = 574,356,326,769/454,746
  6. Step 6: Final answer
    x = 1,263,026.67

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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.