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Finding the Third Proportional to 295,111 and 633,232

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Solution

The third proportional to 295,111 and 633,232 is: 1,358,752.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,111 : 633,232 = 633,232 : x
  2. Step 2: Convert to fraction form
    295,111/633,232 = 633,232/x
  3. Step 3: Cross multiply
    295,111x = 633,232 × 633,232
  4. Step 4: Simplify right side
    295,111x = 400,982,765,824
  5. Step 5: Solve for x
    x = 400,982,765,824/295,111
  6. Step 6: Final answer
    x = 1,358,752.35

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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.