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Finding the Third Proportional to 473,412.75 and 665,888.25

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Solution

The third proportional to 473,412.75 and 665,888.25 is: 936,618.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,412.75 : 665,888.25 = 665,888.25 : x
  2. Step 2: Convert to fraction form
    473,412.75/665,888.25 = 665,888.25/x
  3. Step 3: Cross multiply
    473,412.75x = 665,888.25 × 665,888.25
  4. Step 4: Simplify right side
    473,412.75x = 443,407,161,488.06
  5. Step 5: Solve for x
    x = 443,407,161,488.06/473,412.75
  6. Step 6: Final answer
    x = 936,618.55

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.