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Finding the Third Proportional to 469,900 and 756,610

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Solution

The third proportional to 469,900 and 756,610 is: 1,218,256.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,900 : 756,610 = 756,610 : x
  2. Step 2: Convert to fraction form
    469,900/756,610 = 756,610/x
  3. Step 3: Cross multiply
    469,900x = 756,610 × 756,610
  4. Step 4: Simplify right side
    469,900x = 572,458,692,100
  5. Step 5: Solve for x
    x = 572,458,692,100/469,900
  6. Step 6: Final answer
    x = 1,218,256.42

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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.