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Finding the Third Proportional to 336,822 and 508,729.75

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Solution

The third proportional to 336,822 and 508,729.75 is: 768,376.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    336,822 : 508,729.75 = 508,729.75 : x
  2. Step 2: Convert to fraction form
    336,822/508,729.75 = 508,729.75/x
  3. Step 3: Cross multiply
    336,822x = 508,729.75 × 508,729.75
  4. Step 4: Simplify right side
    336,822x = 258,805,958,535.06
  5. Step 5: Solve for x
    x = 258,805,958,535.06/336,822
  6. Step 6: Final answer
    x = 768,376.05

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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.