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Finding the Third Proportional to 399,254 and 864,968

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Solution

The third proportional to 399,254 and 864,968 is: 1,873,918.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,254 : 864,968 = 864,968 : x
  2. Step 2: Convert to fraction form
    399,254/864,968 = 864,968/x
  3. Step 3: Cross multiply
    399,254x = 864,968 × 864,968
  4. Step 4: Simplify right side
    399,254x = 748,169,641,024
  5. Step 5: Solve for x
    x = 748,169,641,024/399,254
  6. Step 6: Final answer
    x = 1,873,918.96

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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.