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Finding the Third Proportional to 478,966 and 798,243

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Solution

The third proportional to 478,966 and 798,243 is: 1,330,348.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    478,966 : 798,243 = 798,243 : x
  2. Step 2: Convert to fraction form
    478,966/798,243 = 798,243/x
  3. Step 3: Cross multiply
    478,966x = 798,243 × 798,243
  4. Step 4: Simplify right side
    478,966x = 637,191,887,049
  5. Step 5: Solve for x
    x = 637,191,887,049/478,966
  6. Step 6: Final answer
    x = 1,330,348.89

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.