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Finding the Third Proportional to 323,056 and 754,600

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Solution

The third proportional to 323,056 and 754,600 is: 1,762,608.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,056 : 754,600 = 754,600 : x
  2. Step 2: Convert to fraction form
    323,056/754,600 = 754,600/x
  3. Step 3: Cross multiply
    323,056x = 754,600 × 754,600
  4. Step 4: Simplify right side
    323,056x = 569,421,160,000
  5. Step 5: Solve for x
    x = 569,421,160,000/323,056
  6. Step 6: Final answer
    x = 1,762,608.22

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.