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Finding the Third Proportional to 537,463 and 776,941

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Solution

The third proportional to 537,463 and 776,941 is: 1,123,123.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    537,463 : 776,941 = 776,941 : x
  2. Step 2: Convert to fraction form
    537,463/776,941 = 776,941/x
  3. Step 3: Cross multiply
    537,463x = 776,941 × 776,941
  4. Step 4: Simplify right side
    537,463x = 603,637,317,481
  5. Step 5: Solve for x
    x = 603,637,317,481/537,463
  6. Step 6: Final answer
    x = 1,123,123.48

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.