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Finding the Third Proportional to 445,834 and 684,303

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Solution

The third proportional to 445,834 and 684,303 is: 1,050,325.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    445,834 : 684,303 = 684,303 : x
  2. Step 2: Convert to fraction form
    445,834/684,303 = 684,303/x
  3. Step 3: Cross multiply
    445,834x = 684,303 × 684,303
  4. Step 4: Simplify right side
    445,834x = 468,270,595,809
  5. Step 5: Solve for x
    x = 468,270,595,809/445,834
  6. Step 6: Final answer
    x = 1,050,325.00

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.