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Finding the Third Proportional to 333,482.06 and 741,575.25

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Solution

The third proportional to 333,482.06 and 741,575.25 is: 1,649,065.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,482.06 : 741,575.25 = 741,575.25 : x
  2. Step 2: Convert to fraction form
    333,482.06/741,575.25 = 741,575.25/x
  3. Step 3: Cross multiply
    333,482.06x = 741,575.25 × 741,575.25
  4. Step 4: Simplify right side
    333,482.06x = 549,933,851,412.56
  5. Step 5: Solve for x
    x = 549,933,851,412.56/333,482.06
  6. Step 6: Final answer
    x = 1,649,065.76

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.