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Finding the Third Proportional to 233,770 and 504,900

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Solution

The third proportional to 233,770 and 504,900 is: 1,090,490.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,770 : 504,900 = 504,900 : x
  2. Step 2: Convert to fraction form
    233,770/504,900 = 504,900/x
  3. Step 3: Cross multiply
    233,770x = 504,900 × 504,900
  4. Step 4: Simplify right side
    233,770x = 254,924,010,000
  5. Step 5: Solve for x
    x = 254,924,010,000/233,770
  6. Step 6: Final answer
    x = 1,090,490.70

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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.