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Finding the Third Proportional to 415,645.50 and 669,369

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Solution

The third proportional to 415,645.50 and 669,369 is: 1,077,973.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,645.50 : 669,369 = 669,369 : x
  2. Step 2: Convert to fraction form
    415,645.50/669,369 = 669,369/x
  3. Step 3: Cross multiply
    415,645.50x = 669,369 × 669,369
  4. Step 4: Simplify right side
    415,645.50x = 448,054,858,161
  5. Step 5: Solve for x
    x = 448,054,858,161/415,645.50
  6. Step 6: Final answer
    x = 1,077,973.56

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.