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Finding the Third Proportional to 293,973 and 643,971

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Solution

The third proportional to 293,973 and 643,971 is: 1,410,669.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,973 : 643,971 = 643,971 : x
  2. Step 2: Convert to fraction form
    293,973/643,971 = 643,971/x
  3. Step 3: Cross multiply
    293,973x = 643,971 × 643,971
  4. Step 4: Simplify right side
    293,973x = 414,698,648,841
  5. Step 5: Solve for x
    x = 414,698,648,841/293,973
  6. Step 6: Final answer
    x = 1,410,669.17

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.