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Finding the Third Proportional to 436,475 and 656,336

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Solution

The third proportional to 436,475 and 656,336 is: 986,945.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    436,475 : 656,336 = 656,336 : x
  2. Step 2: Convert to fraction form
    436,475/656,336 = 656,336/x
  3. Step 3: Cross multiply
    436,475x = 656,336 × 656,336
  4. Step 4: Simplify right side
    436,475x = 430,776,944,896
  5. Step 5: Solve for x
    x = 430,776,944,896/436,475
  6. Step 6: Final answer
    x = 986,945.29

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.