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Finding the Third Proportional to 439,967 and 680,133

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Solution

The third proportional to 439,967 and 680,133 is: 1,051,399.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    439,967 : 680,133 = 680,133 : x
  2. Step 2: Convert to fraction form
    439,967/680,133 = 680,133/x
  3. Step 3: Cross multiply
    439,967x = 680,133 × 680,133
  4. Step 4: Simplify right side
    439,967x = 462,580,897,689
  5. Step 5: Solve for x
    x = 462,580,897,689/439,967
  6. Step 6: Final answer
    x = 1,051,399.08

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.