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Finding the Third Proportional to 446,809.50 and 625,016.25

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Solution

The third proportional to 446,809.50 and 625,016.25 is: 874,299.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    446,809.50 : 625,016.25 = 625,016.25 : x
  2. Step 2: Convert to fraction form
    446,809.50/625,016.25 = 625,016.25/x
  3. Step 3: Cross multiply
    446,809.50x = 625,016.25 × 625,016.25
  4. Step 4: Simplify right side
    446,809.50x = 390,645,312,764.06
  5. Step 5: Solve for x
    x = 390,645,312,764.06/446,809.50
  6. Step 6: Final answer
    x = 874,299.48

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.