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Finding the Third Proportional to 565,959 and 841,245

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Solution

The third proportional to 565,959 and 841,245 is: 1,250,431.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,959 : 841,245 = 841,245 : x
  2. Step 2: Convert to fraction form
    565,959/841,245 = 841,245/x
  3. Step 3: Cross multiply
    565,959x = 841,245 × 841,245
  4. Step 4: Simplify right side
    565,959x = 707,693,150,025
  5. Step 5: Solve for x
    x = 707,693,150,025/565,959
  6. Step 6: Final answer
    x = 1,250,431.83

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.