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Finding the Third Proportional to 258,061 and 379,501

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Solution

The third proportional to 258,061 and 379,501 is: 558,089.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,061 : 379,501 = 379,501 : x
  2. Step 2: Convert to fraction form
    258,061/379,501 = 379,501/x
  3. Step 3: Cross multiply
    258,061x = 379,501 × 379,501
  4. Step 4: Simplify right side
    258,061x = 144,021,009,001
  5. Step 5: Solve for x
    x = 144,021,009,001/258,061
  6. Step 6: Final answer
    x = 558,089.01

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.