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Finding the Third Proportional to 430,566 and 672,012

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Solution

The third proportional to 430,566 and 672,012 is: 1,048,852.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    430,566 : 672,012 = 672,012 : x
  2. Step 2: Convert to fraction form
    430,566/672,012 = 672,012/x
  3. Step 3: Cross multiply
    430,566x = 672,012 × 672,012
  4. Step 4: Simplify right side
    430,566x = 451,600,128,144
  5. Step 5: Solve for x
    x = 451,600,128,144/430,566
  6. Step 6: Final answer
    x = 1,048,852.27

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.