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Finding the Third Proportional to 476,595.75 and 666,609

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Solution

The third proportional to 476,595.75 and 666,609 is: 932,378.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    476,595.75 : 666,609 = 666,609 : x
  2. Step 2: Convert to fraction form
    476,595.75/666,609 = 666,609/x
  3. Step 3: Cross multiply
    476,595.75x = 666,609 × 666,609
  4. Step 4: Simplify right side
    476,595.75x = 444,367,558,881
  5. Step 5: Solve for x
    x = 444,367,558,881/476,595.75
  6. Step 6: Final answer
    x = 932,378.35

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.