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Finding the Third Proportional to 296,887 and 647,056

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Solution

The third proportional to 296,887 and 647,056 is: 1,410,238.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,887 : 647,056 = 647,056 : x
  2. Step 2: Convert to fraction form
    296,887/647,056 = 647,056/x
  3. Step 3: Cross multiply
    296,887x = 647,056 × 647,056
  4. Step 4: Simplify right side
    296,887x = 418,681,467,136
  5. Step 5: Solve for x
    x = 418,681,467,136/296,887
  6. Step 6: Final answer
    x = 1,410,238.46

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.