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Finding the Third Proportional to 356,588 and 743,056

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Solution

The third proportional to 356,588 and 743,056 is: 1,548,375.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,588 : 743,056 = 743,056 : x
  2. Step 2: Convert to fraction form
    356,588/743,056 = 743,056/x
  3. Step 3: Cross multiply
    356,588x = 743,056 × 743,056
  4. Step 4: Simplify right side
    356,588x = 552,132,219,136
  5. Step 5: Solve for x
    x = 552,132,219,136/356,588
  6. Step 6: Final answer
    x = 1,548,375.77

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.