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Finding the Third Proportional to 423,634 and 660,458

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Solution

The third proportional to 423,634 and 660,458 is: 1,029,673.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    423,634 : 660,458 = 660,458 : x
  2. Step 2: Convert to fraction form
    423,634/660,458 = 660,458/x
  3. Step 3: Cross multiply
    423,634x = 660,458 × 660,458
  4. Step 4: Simplify right side
    423,634x = 436,204,769,764
  5. Step 5: Solve for x
    x = 436,204,769,764/423,634
  6. Step 6: Final answer
    x = 1,029,673.66

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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.