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Finding the Third Proportional to 542,698 and 797,787

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Solution

The third proportional to 542,698 and 797,787 is: 1,172,777.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,698 : 797,787 = 797,787 : x
  2. Step 2: Convert to fraction form
    542,698/797,787 = 797,787/x
  3. Step 3: Cross multiply
    542,698x = 797,787 × 797,787
  4. Step 4: Simplify right side
    542,698x = 636,464,097,369
  5. Step 5: Solve for x
    x = 636,464,097,369/542,698
  6. Step 6: Final answer
    x = 1,172,777.67

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.