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Finding the Third Proportional to 245,928 and 370,623

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Solution

The third proportional to 245,928 and 370,623 is: 558,543.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    245,928 : 370,623 = 370,623 : x
  2. Step 2: Convert to fraction form
    245,928/370,623 = 370,623/x
  3. Step 3: Cross multiply
    245,928x = 370,623 × 370,623
  4. Step 4: Simplify right side
    245,928x = 137,361,408,129
  5. Step 5: Solve for x
    x = 137,361,408,129/245,928
  6. Step 6: Final answer
    x = 558,543.18

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.