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Finding the Third Proportional to 413,967 and 623,001

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Solution

The third proportional to 413,967 and 623,001 is: 937,587.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,967 : 623,001 = 623,001 : x
  2. Step 2: Convert to fraction form
    413,967/623,001 = 623,001/x
  3. Step 3: Cross multiply
    413,967x = 623,001 × 623,001
  4. Step 4: Simplify right side
    413,967x = 388,130,246,001
  5. Step 5: Solve for x
    x = 388,130,246,001/413,967
  6. Step 6: Final answer
    x = 937,587.41

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