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Finding the Third Proportional to 348,896 and 753,056

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Solution

The third proportional to 348,896 and 753,056 is: 1,625,393.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    348,896 : 753,056 = 753,056 : x
  2. Step 2: Convert to fraction form
    348,896/753,056 = 753,056/x
  3. Step 3: Cross multiply
    348,896x = 753,056 × 753,056
  4. Step 4: Simplify right side
    348,896x = 567,093,339,136
  5. Step 5: Solve for x
    x = 567,093,339,136/348,896
  6. Step 6: Final answer
    x = 1,625,393.64

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.