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Finding the Third Proportional to 294,326 and 623,714

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Solution

The third proportional to 294,326 and 623,714 is: 1,321,728.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,326 : 623,714 = 623,714 : x
  2. Step 2: Convert to fraction form
    294,326/623,714 = 623,714/x
  3. Step 3: Cross multiply
    294,326x = 623,714 × 623,714
  4. Step 4: Simplify right side
    294,326x = 389,019,153,796
  5. Step 5: Solve for x
    x = 389,019,153,796/294,326
  6. Step 6: Final answer
    x = 1,321,728.81

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.