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Finding the Third Proportional to 569,288 and 824,556

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Solution

The third proportional to 569,288 and 824,556 is: 1,194,285.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    569,288 : 824,556 = 824,556 : x
  2. Step 2: Convert to fraction form
    569,288/824,556 = 824,556/x
  3. Step 3: Cross multiply
    569,288x = 824,556 × 824,556
  4. Step 4: Simplify right side
    569,288x = 679,892,597,136
  5. Step 5: Solve for x
    x = 679,892,597,136/569,288
  6. Step 6: Final answer
    x = 1,194,285.84

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.