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Finding the Third Proportional to 464,958 and 715,005

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Solution

The third proportional to 464,958 and 715,005 is: 1,099,523.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,958 : 715,005 = 715,005 : x
  2. Step 2: Convert to fraction form
    464,958/715,005 = 715,005/x
  3. Step 3: Cross multiply
    464,958x = 715,005 × 715,005
  4. Step 4: Simplify right side
    464,958x = 511,232,150,025
  5. Step 5: Solve for x
    x = 511,232,150,025/464,958
  6. Step 6: Final answer
    x = 1,099,523.29

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.