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Finding the Third Proportional to 190,448 and 413,664

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Solution

The third proportional to 190,448 and 413,664 is: 898,501.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,448 : 413,664 = 413,664 : x
  2. Step 2: Convert to fraction form
    190,448/413,664 = 413,664/x
  3. Step 3: Cross multiply
    190,448x = 413,664 × 413,664
  4. Step 4: Simplify right side
    190,448x = 171,117,904,896
  5. Step 5: Solve for x
    x = 171,117,904,896/190,448
  6. Step 6: Final answer
    x = 898,501.98

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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.