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Finding the Third Proportional to 590,424.19 and 939,939.19

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Solution

The third proportional to 590,424.19 and 939,939.19 is: 1,496,357.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    590,424.19 : 939,939.19 = 939,939.19 : x
  2. Step 2: Convert to fraction form
    590,424.19/939,939.19 = 939,939.19/x
  3. Step 3: Cross multiply
    590,424.19x = 939,939.19 × 939,939.19
  4. Step 4: Simplify right side
    590,424.19x = 883,485,676,198.16
  5. Step 5: Solve for x
    x = 883,485,676,198.16/590,424.19
  6. Step 6: Final answer
    x = 1,496,357.53

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.