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Finding the Third Proportional to 549,262.69 and 823,355.30

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Solution

The third proportional to 549,262.69 and 823,355.30 is: 1,234,225.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    549,262.69 : 823,355.30 = 823,355.30 : x
  2. Step 2: Convert to fraction form
    549,262.69/823,355.30 = 823,355.30/x
  3. Step 3: Cross multiply
    549,262.69x = 823,355.30 × 823,355.30
  4. Step 4: Simplify right side
    549,262.69x = 677,913,944,892.12
  5. Step 5: Solve for x
    x = 677,913,944,892.12/549,262.69
  6. Step 6: Final answer
    x = 1,234,225.37

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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.