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Finding the Third Proportional to 475,002 and 710,131.50

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Solution

The third proportional to 475,002 and 710,131.50 is: 1,061,651.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,002 : 710,131.50 = 710,131.50 : x
  2. Step 2: Convert to fraction form
    475,002/710,131.50 = 710,131.50/x
  3. Step 3: Cross multiply
    475,002x = 710,131.50 × 710,131.50
  4. Step 4: Simplify right side
    475,002x = 504,286,747,292.25
  5. Step 5: Solve for x
    x = 504,286,747,292.25/475,002
  6. Step 6: Final answer
    x = 1,061,651.84

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.