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Finding the Third Proportional to 466,838 and 679,845

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Solution

The third proportional to 466,838 and 679,845 is: 990,041.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    466,838 : 679,845 = 679,845 : x
  2. Step 2: Convert to fraction form
    466,838/679,845 = 679,845/x
  3. Step 3: Cross multiply
    466,838x = 679,845 × 679,845
  4. Step 4: Simplify right side
    466,838x = 462,189,224,025
  5. Step 5: Solve for x
    x = 462,189,224,025/466,838
  6. Step 6: Final answer
    x = 990,041.99

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.