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Finding the Third Proportional to 449,826 and 673,461

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Solution

The third proportional to 449,826 and 673,461 is: 1,008,278.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    449,826 : 673,461 = 673,461 : x
  2. Step 2: Convert to fraction form
    449,826/673,461 = 673,461/x
  3. Step 3: Cross multiply
    449,826x = 673,461 × 673,461
  4. Step 4: Simplify right side
    449,826x = 453,549,718,521
  5. Step 5: Solve for x
    x = 453,549,718,521/449,826
  6. Step 6: Final answer
    x = 1,008,278.13

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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.