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Finding the Third Proportional to 531,080 and 797,196

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Solution

The third proportional to 531,080 and 797,196 is: 1,196,658.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    531,080 : 797,196 = 797,196 : x
  2. Step 2: Convert to fraction form
    531,080/797,196 = 797,196/x
  3. Step 3: Cross multiply
    531,080x = 797,196 × 797,196
  4. Step 4: Simplify right side
    531,080x = 635,521,462,416
  5. Step 5: Solve for x
    x = 635,521,462,416/531,080
  6. Step 6: Final answer
    x = 1,196,658.62

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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.