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Finding the Third Proportional to 333,477 and 741,561.75

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Solution

The third proportional to 333,477 and 741,561.75 is: 1,649,030.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,477 : 741,561.75 = 741,561.75 : x
  2. Step 2: Convert to fraction form
    333,477/741,561.75 = 741,561.75/x
  3. Step 3: Cross multiply
    333,477x = 741,561.75 × 741,561.75
  4. Step 4: Simplify right side
    333,477x = 549,913,829,063.06
  5. Step 5: Solve for x
    x = 549,913,829,063.06/333,477
  6. Step 6: Final answer
    x = 1,649,030.75

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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.