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Finding the Third Proportional to 245,931 and 580,321.50

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Solution

The third proportional to 245,931 and 580,321.50 is: 1,369,380.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    245,931 : 580,321.50 = 580,321.50 : x
  2. Step 2: Convert to fraction form
    245,931/580,321.50 = 580,321.50/x
  3. Step 3: Cross multiply
    245,931x = 580,321.50 × 580,321.50
  4. Step 4: Simplify right side
    245,931x = 336,773,043,362.25
  5. Step 5: Solve for x
    x = 336,773,043,362.25/245,931
  6. Step 6: Final answer
    x = 1,369,380.21

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.