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Finding the Third Proportional to 371,888 and 590,988

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Solution

The third proportional to 371,888 and 590,988 is: 939,172.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    371,888 : 590,988 = 590,988 : x
  2. Step 2: Convert to fraction form
    371,888/590,988 = 590,988/x
  3. Step 3: Cross multiply
    371,888x = 590,988 × 590,988
  4. Step 4: Simplify right side
    371,888x = 349,266,816,144
  5. Step 5: Solve for x
    x = 349,266,816,144/371,888
  6. Step 6: Final answer
    x = 939,172.05

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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.