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Finding the Third Proportional to 511,416 and 794,052

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Solution

The third proportional to 511,416 and 794,052 is: 1,232,887.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,416 : 794,052 = 794,052 : x
  2. Step 2: Convert to fraction form
    511,416/794,052 = 794,052/x
  3. Step 3: Cross multiply
    511,416x = 794,052 × 794,052
  4. Step 4: Simplify right side
    511,416x = 630,518,578,704
  5. Step 5: Solve for x
    x = 630,518,578,704/511,416
  6. Step 6: Final answer
    x = 1,232,887.86

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.