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Finding the Third Proportional to 469,914 and 756,630.56

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Solution

The third proportional to 469,914 and 756,630.56 is: 1,218,286.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,914 : 756,630.56 = 756,630.56 : x
  2. Step 2: Convert to fraction form
    469,914/756,630.56 = 756,630.56/x
  3. Step 3: Cross multiply
    469,914x = 756,630.56 × 756,630.56
  4. Step 4: Simplify right side
    469,914x = 572,489,808,109.07
  5. Step 5: Solve for x
    x = 572,489,808,109.07/469,914
  6. Step 6: Final answer
    x = 1,218,286.34

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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.