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Finding the Third Proportional to 392,050 and 576,588.50

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Solution

The third proportional to 392,050 and 576,588.50 is: 847,989.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,050 : 576,588.50 = 576,588.50 : x
  2. Step 2: Convert to fraction form
    392,050/576,588.50 = 576,588.50/x
  3. Step 3: Cross multiply
    392,050x = 576,588.50 × 576,588.50
  4. Step 4: Simplify right side
    392,050x = 332,454,298,332.25
  5. Step 5: Solve for x
    x = 332,454,298,332.25/392,050
  6. Step 6: Final answer
    x = 847,989.54

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.