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Finding the Third Proportional to 569,088 and 824,256

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Solution

The third proportional to 569,088 and 824,256 is: 1,193,836.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    569,088 : 824,256 = 824,256 : x
  2. Step 2: Convert to fraction form
    569,088/824,256 = 824,256/x
  3. Step 3: Cross multiply
    569,088x = 824,256 × 824,256
  4. Step 4: Simplify right side
    569,088x = 679,397,953,536
  5. Step 5: Solve for x
    x = 679,397,953,536/569,088
  6. Step 6: Final answer
    x = 1,193,836.37

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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.