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Finding the Third Proportional to 313,311 and 504,472.50

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Solution

The third proportional to 313,311 and 504,472.50 is: 812,268.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,311 : 504,472.50 = 504,472.50 : x
  2. Step 2: Convert to fraction form
    313,311/504,472.50 = 504,472.50/x
  3. Step 3: Cross multiply
    313,311x = 504,472.50 × 504,472.50
  4. Step 4: Simplify right side
    313,311x = 254,492,503,256.25
  5. Step 5: Solve for x
    x = 254,492,503,256.25/313,311
  6. Step 6: Final answer
    x = 812,268.01

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.