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Finding the Third Proportional to 430,504 and 601,868

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Solution

The third proportional to 430,504 and 601,868 is: 841,444.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    430,504 : 601,868 = 601,868 : x
  2. Step 2: Convert to fraction form
    430,504/601,868 = 601,868/x
  3. Step 3: Cross multiply
    430,504x = 601,868 × 601,868
  4. Step 4: Simplify right side
    430,504x = 362,245,089,424
  5. Step 5: Solve for x
    x = 362,245,089,424/430,504
  6. Step 6: Final answer
    x = 841,444.19

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.