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Finding the Third Proportional to 446,721.75 and 963,427.50

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Solution

The third proportional to 446,721.75 and 963,427.50 is: 2,077,786.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    446,721.75 : 963,427.50 = 963,427.50 : x
  2. Step 2: Convert to fraction form
    446,721.75/963,427.50 = 963,427.50/x
  3. Step 3: Cross multiply
    446,721.75x = 963,427.50 × 963,427.50
  4. Step 4: Simplify right side
    446,721.75x = 928,192,547,756.25
  5. Step 5: Solve for x
    x = 928,192,547,756.25/446,721.75
  6. Step 6: Final answer
    x = 2,077,786.78

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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.