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Finding the Third Proportional to 511,498 and 744,757

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Solution

The third proportional to 511,498 and 744,757 is: 1,084,389.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,498 : 744,757 = 744,757 : x
  2. Step 2: Convert to fraction form
    511,498/744,757 = 744,757/x
  3. Step 3: Cross multiply
    511,498x = 744,757 × 744,757
  4. Step 4: Simplify right side
    511,498x = 554,662,989,049
  5. Step 5: Solve for x
    x = 554,662,989,049/511,498
  6. Step 6: Final answer
    x = 1,084,389.36

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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.