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Finding the Third Proportional to 329,824 and 497,792

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Solution

The third proportional to 329,824 and 497,792 is: 751,300.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,824 : 497,792 = 497,792 : x
  2. Step 2: Convert to fraction form
    329,824/497,792 = 497,792/x
  3. Step 3: Cross multiply
    329,824x = 497,792 × 497,792
  4. Step 4: Simplify right side
    329,824x = 247,796,875,264
  5. Step 5: Solve for x
    x = 247,796,875,264/329,824
  6. Step 6: Final answer
    x = 751,300.32

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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.