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Finding the Third Proportional to 407,000 and 884,062

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Solution

The third proportional to 407,000 and 884,062 is: 1,920,308.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,000 : 884,062 = 884,062 : x
  2. Step 2: Convert to fraction form
    407,000/884,062 = 884,062/x
  3. Step 3: Cross multiply
    407,000x = 884,062 × 884,062
  4. Step 4: Simplify right side
    407,000x = 781,565,619,844
  5. Step 5: Solve for x
    x = 781,565,619,844/407,000
  6. Step 6: Final answer
    x = 1,920,308.65

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.