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Finding the Third Proportional to 592,296 and 866,230

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Solution

The third proportional to 592,296 and 866,230 is: 1,266,857.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    592,296 : 866,230 = 866,230 : x
  2. Step 2: Convert to fraction form
    592,296/866,230 = 866,230/x
  3. Step 3: Cross multiply
    592,296x = 866,230 × 866,230
  4. Step 4: Simplify right side
    592,296x = 750,354,412,900
  5. Step 5: Solve for x
    x = 750,354,412,900/592,296
  6. Step 6: Final answer
    x = 1,266,857.13

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.