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Finding the Third Proportional to 219,796.50 and 478,959

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Solution

The third proportional to 219,796.50 and 478,959 is: 1,043,700.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,796.50 : 478,959 = 478,959 : x
  2. Step 2: Convert to fraction form
    219,796.50/478,959 = 478,959/x
  3. Step 3: Cross multiply
    219,796.50x = 478,959 × 478,959
  4. Step 4: Simplify right side
    219,796.50x = 229,401,723,681
  5. Step 5: Solve for x
    x = 229,401,723,681/219,796.50
  6. Step 6: Final answer
    x = 1,043,700.53

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.