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Finding the Third Proportional to 407,007 and 868,050

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Solution

The third proportional to 407,007 and 868,050 is: 1,851,346.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,007 : 868,050 = 868,050 : x
  2. Step 2: Convert to fraction form
    407,007/868,050 = 868,050/x
  3. Step 3: Cross multiply
    407,007x = 868,050 × 868,050
  4. Step 4: Simplify right side
    407,007x = 753,510,802,500
  5. Step 5: Solve for x
    x = 753,510,802,500/407,007
  6. Step 6: Final answer
    x = 1,851,346.05

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.