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Finding the Third Proportional to 335,072 and 503,328

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Solution

The third proportional to 335,072 and 503,328 is: 756,073.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    335,072 : 503,328 = 503,328 : x
  2. Step 2: Convert to fraction form
    335,072/503,328 = 503,328/x
  3. Step 3: Cross multiply
    335,072x = 503,328 × 503,328
  4. Step 4: Simplify right side
    335,072x = 253,339,075,584
  5. Step 5: Solve for x
    x = 253,339,075,584/335,072
  6. Step 6: Final answer
    x = 756,073.55

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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.