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Finding the Third Proportional to 314,354 and 643,232

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Solution

The third proportional to 314,354 and 643,232 is: 1,316,183.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,354 : 643,232 = 643,232 : x
  2. Step 2: Convert to fraction form
    314,354/643,232 = 643,232/x
  3. Step 3: Cross multiply
    314,354x = 643,232 × 643,232
  4. Step 4: Simplify right side
    314,354x = 413,747,405,824
  5. Step 5: Solve for x
    x = 413,747,405,824/314,354
  6. Step 6: Final answer
    x = 1,316,183.05

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.