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Finding the Third Proportional to 446,999.38 and 674,599.75

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Solution

The third proportional to 446,999.38 and 674,599.75 is: 1,018,088.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    446,999.38 : 674,599.75 = 674,599.75 : x
  2. Step 2: Convert to fraction form
    446,999.38/674,599.75 = 674,599.75/x
  3. Step 3: Cross multiply
    446,999.38x = 674,599.75 × 674,599.75
  4. Step 4: Simplify right side
    446,999.38x = 455,084,822,700.06
  5. Step 5: Solve for x
    x = 455,084,822,700.06/446,999.38
  6. Step 6: Final answer
    x = 1,018,088.28

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.