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Finding the Third Proportional to 476,816 and 715,225

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Solution

The third proportional to 476,816 and 715,225 is: 1,072,839.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    476,816 : 715,225 = 715,225 : x
  2. Step 2: Convert to fraction form
    476,816/715,225 = 715,225/x
  3. Step 3: Cross multiply
    476,816x = 715,225 × 715,225
  4. Step 4: Simplify right side
    476,816x = 511,546,800,625
  5. Step 5: Solve for x
    x = 511,546,800,625/476,816
  6. Step 6: Final answer
    x = 1,072,839.00

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.