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Finding the Third Proportional to 468,291.50 and 994,894

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Solution

The third proportional to 468,291.50 and 994,894 is: 2,113,670.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,291.50 : 994,894 = 994,894 : x
  2. Step 2: Convert to fraction form
    468,291.50/994,894 = 994,894/x
  3. Step 3: Cross multiply
    468,291.50x = 994,894 × 994,894
  4. Step 4: Simplify right side
    468,291.50x = 989,814,071,236
  5. Step 5: Solve for x
    x = 989,814,071,236/468,291.50
  6. Step 6: Final answer
    x = 2,113,670.80

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.