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Finding the Third Proportional to 345,056 and 731,584

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Solution

The third proportional to 345,056 and 731,584 is: 1,551,096.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,056 : 731,584 = 731,584 : x
  2. Step 2: Convert to fraction form
    345,056/731,584 = 731,584/x
  3. Step 3: Cross multiply
    345,056x = 731,584 × 731,584
  4. Step 4: Simplify right side
    345,056x = 535,215,149,056
  5. Step 5: Solve for x
    x = 535,215,149,056/345,056
  6. Step 6: Final answer
    x = 1,551,096.49

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.