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Finding the Third Proportional to 511,466 and 757,283

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Solution

The third proportional to 511,466 and 757,283 is: 1,121,242.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,466 : 757,283 = 757,283 : x
  2. Step 2: Convert to fraction form
    511,466/757,283 = 757,283/x
  3. Step 3: Cross multiply
    511,466x = 757,283 × 757,283
  4. Step 4: Simplify right side
    511,466x = 573,477,542,089
  5. Step 5: Solve for x
    x = 573,477,542,089/511,466
  6. Step 6: Final answer
    x = 1,121,242.75

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.