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Finding the Third Proportional to 446,398.50 and 963,364.50

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Solution

The third proportional to 446,398.50 and 963,364.50 is: 2,079,019.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    446,398.50 : 963,364.50 = 963,364.50 : x
  2. Step 2: Convert to fraction form
    446,398.50/963,364.50 = 963,364.50/x
  3. Step 3: Cross multiply
    446,398.50x = 963,364.50 × 963,364.50
  4. Step 4: Simplify right side
    446,398.50x = 928,071,159,860.25
  5. Step 5: Solve for x
    x = 928,071,159,860.25/446,398.50
  6. Step 6: Final answer
    x = 2,079,019.44

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.