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Finding the Third Proportional to 190,404 and 413,585

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Solution

The third proportional to 190,404 and 413,585 is: 898,366.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,404 : 413,585 = 413,585 : x
  2. Step 2: Convert to fraction form
    190,404/413,585 = 413,585/x
  3. Step 3: Cross multiply
    190,404x = 413,585 × 413,585
  4. Step 4: Simplify right side
    190,404x = 171,052,552,225
  5. Step 5: Solve for x
    x = 171,052,552,225/190,404
  6. Step 6: Final answer
    x = 898,366.38

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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.