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Finding the Third Proportional to 232,813 and 360,607

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Solution

The third proportional to 232,813 and 360,607 is: 558,548.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,813 : 360,607 = 360,607 : x
  2. Step 2: Convert to fraction form
    232,813/360,607 = 360,607/x
  3. Step 3: Cross multiply
    232,813x = 360,607 × 360,607
  4. Step 4: Simplify right side
    232,813x = 130,037,408,449
  5. Step 5: Solve for x
    x = 130,037,408,449/232,813
  6. Step 6: Final answer
    x = 558,548.74

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.