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Finding the Third Proportional to 392,710.50 and 596,355.75

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Solution

The third proportional to 392,710.50 and 596,355.75 is: 905,603.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,710.50 : 596,355.75 = 596,355.75 : x
  2. Step 2: Convert to fraction form
    392,710.50/596,355.75 = 596,355.75/x
  3. Step 3: Cross multiply
    392,710.50x = 596,355.75 × 596,355.75
  4. Step 4: Simplify right side
    392,710.50x = 355,640,180,558.06
  5. Step 5: Solve for x
    x = 355,640,180,558.06/392,710.50
  6. Step 6: Final answer
    x = 905,603.95

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.