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Finding the Third Proportional to 190,391 and 413,607

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Solution

The third proportional to 190,391 and 413,607 is: 898,523.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,391 : 413,607 = 413,607 : x
  2. Step 2: Convert to fraction form
    190,391/413,607 = 413,607/x
  3. Step 3: Cross multiply
    190,391x = 413,607 × 413,607
  4. Step 4: Simplify right side
    190,391x = 171,070,750,449
  5. Step 5: Solve for x
    x = 171,070,750,449/190,391
  6. Step 6: Final answer
    x = 898,523.30

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.