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Finding the Third Proportional to 232,964 and 504,010

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Solution

The third proportional to 232,964 and 504,010 is: 1,090,409.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,964 : 504,010 = 504,010 : x
  2. Step 2: Convert to fraction form
    232,964/504,010 = 504,010/x
  3. Step 3: Cross multiply
    232,964x = 504,010 × 504,010
  4. Step 4: Simplify right side
    232,964x = 254,026,080,100
  5. Step 5: Solve for x
    x = 254,026,080,100/232,964
  6. Step 6: Final answer
    x = 1,090,409.16

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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.