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Finding the Third Proportional to 375,202 and 536,503

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Solution

The third proportional to 375,202 and 536,503 is: 767,148.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,202 : 536,503 = 536,503 : x
  2. Step 2: Convert to fraction form
    375,202/536,503 = 536,503/x
  3. Step 3: Cross multiply
    375,202x = 536,503 × 536,503
  4. Step 4: Simplify right side
    375,202x = 287,835,469,009
  5. Step 5: Solve for x
    x = 287,835,469,009/375,202
  6. Step 6: Final answer
    x = 767,148.01

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.