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Finding the Third Proportional to 537,388 and 816,774

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Solution

The third proportional to 537,388 and 816,774 is: 1,241,411.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    537,388 : 816,774 = 816,774 : x
  2. Step 2: Convert to fraction form
    537,388/816,774 = 816,774/x
  3. Step 3: Cross multiply
    537,388x = 816,774 × 816,774
  4. Step 4: Simplify right side
    537,388x = 667,119,767,076
  5. Step 5: Solve for x
    x = 667,119,767,076/537,388
  6. Step 6: Final answer
    x = 1,241,411.73

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.