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Finding the Third Proportional to 371,072 and 558,304

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Solution

The third proportional to 371,072 and 558,304 is: 840,007.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    371,072 : 558,304 = 558,304 : x
  2. Step 2: Convert to fraction form
    371,072/558,304 = 558,304/x
  3. Step 3: Cross multiply
    371,072x = 558,304 × 558,304
  4. Step 4: Simplify right side
    371,072x = 311,703,356,416
  5. Step 5: Solve for x
    x = 311,703,356,416/371,072
  6. Step 6: Final answer
    x = 840,007.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.