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Finding the Third Proportional to 449,587 and 679,146

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Solution

The third proportional to 449,587 and 679,146 is: 1,025,917.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    449,587 : 679,146 = 679,146 : x
  2. Step 2: Convert to fraction form
    449,587/679,146 = 679,146/x
  3. Step 3: Cross multiply
    449,587x = 679,146 × 679,146
  4. Step 4: Simplify right side
    449,587x = 461,239,289,316
  5. Step 5: Solve for x
    x = 461,239,289,316/449,587
  6. Step 6: Final answer
    x = 1,025,917.76

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.