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Finding the Third Proportional to 276,693 and 405,187.50

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Solution

The third proportional to 276,693 and 405,187.50 is: 593,354.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,693 : 405,187.50 = 405,187.50 : x
  2. Step 2: Convert to fraction form
    276,693/405,187.50 = 405,187.50/x
  3. Step 3: Cross multiply
    276,693x = 405,187.50 × 405,187.50
  4. Step 4: Simplify right side
    276,693x = 164,176,910,156.25
  5. Step 5: Solve for x
    x = 164,176,910,156.25/276,693
  6. Step 6: Final answer
    x = 593,354.04

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Why These Related Problems?

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