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Finding the Third Proportional to 232,973 and 504,030

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Solution

The third proportional to 232,973 and 504,030 is: 1,090,453.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,973 : 504,030 = 504,030 : x
  2. Step 2: Convert to fraction form
    232,973/504,030 = 504,030/x
  3. Step 3: Cross multiply
    232,973x = 504,030 × 504,030
  4. Step 4: Simplify right side
    232,973x = 254,046,240,900
  5. Step 5: Solve for x
    x = 254,046,240,900/232,973
  6. Step 6: Final answer
    x = 1,090,453.58

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.