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Finding the Third Proportional to 414,003 and 607,371

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Solution

The third proportional to 414,003 and 607,371 is: 891,055.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,003 : 607,371 = 607,371 : x
  2. Step 2: Convert to fraction form
    414,003/607,371 = 607,371/x
  3. Step 3: Cross multiply
    414,003x = 607,371 × 607,371
  4. Step 4: Simplify right side
    414,003x = 368,899,531,641
  5. Step 5: Solve for x
    x = 368,899,531,641/414,003
  6. Step 6: Final answer
    x = 891,055.21

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.