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Finding the Third Proportional to 382,824 and 824,148

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Solution

The third proportional to 382,824 and 824,148 is: 1,774,235.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,824 : 824,148 = 824,148 : x
  2. Step 2: Convert to fraction form
    382,824/824,148 = 824,148/x
  3. Step 3: Cross multiply
    382,824x = 824,148 × 824,148
  4. Step 4: Simplify right side
    382,824x = 679,219,925,904
  5. Step 5: Solve for x
    x = 679,219,925,904/382,824
  6. Step 6: Final answer
    x = 1,774,235.49

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.