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Finding the Third Proportional to 511,501 and 744,762

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Solution

The third proportional to 511,501 and 744,762 is: 1,084,397.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,501 : 744,762 = 744,762 : x
  2. Step 2: Convert to fraction form
    511,501/744,762 = 744,762/x
  3. Step 3: Cross multiply
    511,501x = 744,762 × 744,762
  4. Step 4: Simplify right side
    511,501x = 554,670,436,644
  5. Step 5: Solve for x
    x = 554,670,436,644/511,501
  6. Step 6: Final answer
    x = 1,084,397.56

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.