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Finding the Third Proportional to 446,473,669.50 and 694,117,347

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Solution

The third proportional to 446,473,669.50 and 694,117,347 is: 1,079,120,504.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    446,473,669.50 : 694,117,347 = 694,117,347 : x
  2. Step 2: Convert to fraction form
    446,473,669.50/694,117,347 = 694,117,347/x
  3. Step 3: Cross multiply
    446,473,669.50x = 694,117,347 × 694,117,347
  4. Step 4: Simplify right side
    446,473,669.50x = 481,798,891,406,318,400
  5. Step 5: Solve for x
    x = 481,798,891,406,318,400/446,473,669.50
  6. Step 6: Final answer
    x = 1,079,120,504.34

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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.