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Finding the Third Proportional to 233,070 and 504,264

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Solution

The third proportional to 233,070 and 504,264 is: 1,091,012.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,070 : 504,264 = 504,264 : x
  2. Step 2: Convert to fraction form
    233,070/504,264 = 504,264/x
  3. Step 3: Cross multiply
    233,070x = 504,264 × 504,264
  4. Step 4: Simplify right side
    233,070x = 254,282,181,696
  5. Step 5: Solve for x
    x = 254,282,181,696/233,070
  6. Step 6: Final answer
    x = 1,091,012.06

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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.