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Finding the Third Proportional to 476,858.50 and 668,360.25

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Solution

The third proportional to 476,858.50 and 668,360.25 is: 936,767.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    476,858.50 : 668,360.25 = 668,360.25 : x
  2. Step 2: Convert to fraction form
    476,858.50/668,360.25 = 668,360.25/x
  3. Step 3: Cross multiply
    476,858.50x = 668,360.25 × 668,360.25
  4. Step 4: Simplify right side
    476,858.50x = 446,705,423,780.06
  5. Step 5: Solve for x
    x = 446,705,423,780.06/476,858.50
  6. Step 6: Final answer
    x = 936,767.25

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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.