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Finding the Third Proportional to 190,321 and 413,437

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Solution

The third proportional to 190,321 and 413,437 is: 898,115.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,321 : 413,437 = 413,437 : x
  2. Step 2: Convert to fraction form
    190,321/413,437 = 413,437/x
  3. Step 3: Cross multiply
    190,321x = 413,437 × 413,437
  4. Step 4: Simplify right side
    190,321x = 170,930,152,969
  5. Step 5: Solve for x
    x = 170,930,152,969/190,321
  6. Step 6: Final answer
    x = 898,115.04

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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.