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Finding the Third Proportional to 345,824 and 506,268

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Solution

The third proportional to 345,824 and 506,268 is: 741,149.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,824 : 506,268 = 506,268 : x
  2. Step 2: Convert to fraction form
    345,824/506,268 = 506,268/x
  3. Step 3: Cross multiply
    345,824x = 506,268 × 506,268
  4. Step 4: Simplify right side
    345,824x = 256,307,287,824
  5. Step 5: Solve for x
    x = 256,307,287,824/345,824
  6. Step 6: Final answer
    x = 741,149.51

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.