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Finding the Third Proportional to 313,878 and 403,007

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Solution

The third proportional to 313,878 and 403,007 is: 517,445.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,878 : 403,007 = 403,007 : x
  2. Step 2: Convert to fraction form
    313,878/403,007 = 403,007/x
  3. Step 3: Cross multiply
    313,878x = 403,007 × 403,007
  4. Step 4: Simplify right side
    313,878x = 162,414,642,049
  5. Step 5: Solve for x
    x = 162,414,642,049/313,878
  6. Step 6: Final answer
    x = 517,445.13

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Why These Related Problems?

These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.