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Finding the Third Proportional to 446,844.38 and 661,586.06

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Solution

The third proportional to 446,844.38 and 661,586.06 is: 979,526.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    446,844.38 : 661,586.06 = 661,586.06 : x
  2. Step 2: Convert to fraction form
    446,844.38/661,586.06 = 661,586.06/x
  3. Step 3: Cross multiply
    446,844.38x = 661,586.06 × 661,586.06
  4. Step 4: Simplify right side
    446,844.38x = 437,696,118,094.25
  5. Step 5: Solve for x
    x = 437,696,118,094.25/446,844.38
  6. Step 6: Final answer
    x = 979,526.97

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.