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Finding the Third Proportional to 446,098.50 and 690,984

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Solution

The third proportional to 446,098.50 and 690,984 is: 1,070,299.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    446,098.50 : 690,984 = 690,984 : x
  2. Step 2: Convert to fraction form
    446,098.50/690,984 = 690,984/x
  3. Step 3: Cross multiply
    446,098.50x = 690,984 × 690,984
  4. Step 4: Simplify right side
    446,098.50x = 477,458,888,256
  5. Step 5: Solve for x
    x = 477,458,888,256/446,098.50
  6. Step 6: Final answer
    x = 1,070,299.25

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.