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Finding the Third Proportional to 311,748 and 469,728

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Solution

The third proportional to 311,748 and 469,728 is: 707,765.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,748 : 469,728 = 469,728 : x
  2. Step 2: Convert to fraction form
    311,748/469,728 = 469,728/x
  3. Step 3: Cross multiply
    311,748x = 469,728 × 469,728
  4. Step 4: Simplify right side
    311,748x = 220,644,393,984
  5. Step 5: Solve for x
    x = 220,644,393,984/311,748
  6. Step 6: Final answer
    x = 707,765.23

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.