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Finding the Third Proportional to 399,309 and 865,011

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Solution

The third proportional to 399,309 and 865,011 is: 1,873,847.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,309 : 865,011 = 865,011 : x
  2. Step 2: Convert to fraction form
    399,309/865,011 = 865,011/x
  3. Step 3: Cross multiply
    399,309x = 865,011 × 865,011
  4. Step 4: Simplify right side
    399,309x = 748,244,030,121
  5. Step 5: Solve for x
    x = 748,244,030,121/399,309
  6. Step 6: Final answer
    x = 1,873,847.15

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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.