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Finding the Third Proportional to 253,356 and 537,807

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Solution

The third proportional to 253,356 and 537,807 is: 1,141,620.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,356 : 537,807 = 537,807 : x
  2. Step 2: Convert to fraction form
    253,356/537,807 = 537,807/x
  3. Step 3: Cross multiply
    253,356x = 537,807 × 537,807
  4. Step 4: Simplify right side
    253,356x = 289,236,369,249
  5. Step 5: Solve for x
    x = 289,236,369,249/253,356
  6. Step 6: Final answer
    x = 1,141,620.37

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.