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Finding the Third Proportional to 258,341 and 377,306

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Solution

The third proportional to 258,341 and 377,306 is: 551,053.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,341 : 377,306 = 377,306 : x
  2. Step 2: Convert to fraction form
    258,341/377,306 = 377,306/x
  3. Step 3: Cross multiply
    258,341x = 377,306 × 377,306
  4. Step 4: Simplify right side
    258,341x = 142,359,817,636
  5. Step 5: Solve for x
    x = 142,359,817,636/258,341
  6. Step 6: Final answer
    x = 551,053.91

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.