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Finding the Third Proportional to 511,624 and 767,437

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Solution

The third proportional to 511,624 and 767,437 is: 1,151,157.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,624 : 767,437 = 767,437 : x
  2. Step 2: Convert to fraction form
    511,624/767,437 = 767,437/x
  3. Step 3: Cross multiply
    511,624x = 767,437 × 767,437
  4. Step 4: Simplify right side
    511,624x = 588,959,548,969
  5. Step 5: Solve for x
    x = 588,959,548,969/511,624
  6. Step 6: Final answer
    x = 1,151,157.00

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.