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Finding the Third Proportional to 423,378 and 913,232

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Solution

The third proportional to 423,378 and 913,232 is: 1,969,853.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    423,378 : 913,232 = 913,232 : x
  2. Step 2: Convert to fraction form
    423,378/913,232 = 913,232/x
  3. Step 3: Cross multiply
    423,378x = 913,232 × 913,232
  4. Step 4: Simplify right side
    423,378x = 833,992,685,824
  5. Step 5: Solve for x
    x = 833,992,685,824/423,378
  6. Step 6: Final answer
    x = 1,969,853.62

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.