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Finding the Third Proportional to 531,072 and 797,184

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Solution

The third proportional to 531,072 and 797,184 is: 1,196,640.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    531,072 : 797,184 = 797,184 : x
  2. Step 2: Convert to fraction form
    531,072/797,184 = 797,184/x
  3. Step 3: Cross multiply
    531,072x = 797,184 × 797,184
  4. Step 4: Simplify right side
    531,072x = 635,502,329,856
  5. Step 5: Solve for x
    x = 635,502,329,856/531,072
  6. Step 6: Final answer
    x = 1,196,640.62

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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.