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Finding the Third Proportional to 511,627 and 715,654

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Solution

The third proportional to 511,627 and 715,654 is: 1,001,043.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,627 : 715,654 = 715,654 : x
  2. Step 2: Convert to fraction form
    511,627/715,654 = 715,654/x
  3. Step 3: Cross multiply
    511,627x = 715,654 × 715,654
  4. Step 4: Simplify right side
    511,627x = 512,160,647,716
  5. Step 5: Solve for x
    x = 512,160,647,716/511,627
  6. Step 6: Final answer
    x = 1,001,043.04

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.