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Finding the Third Proportional to 336,823 and 508,731.50

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Solution

The third proportional to 336,823 and 508,731.50 is: 768,379.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    336,823 : 508,731.50 = 508,731.50 : x
  2. Step 2: Convert to fraction form
    336,823/508,731.50 = 508,731.50/x
  3. Step 3: Cross multiply
    336,823x = 508,731.50 × 508,731.50
  4. Step 4: Simplify right side
    336,823x = 258,807,739,092.25
  5. Step 5: Solve for x
    x = 258,807,739,092.25/336,823
  6. Step 6: Final answer
    x = 768,379.06

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.