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Finding the Third Proportional to 569,124 and 824,310

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Solution

The third proportional to 569,124 and 824,310 is: 1,193,917.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    569,124 : 824,310 = 824,310 : x
  2. Step 2: Convert to fraction form
    569,124/824,310 = 824,310/x
  3. Step 3: Cross multiply
    569,124x = 824,310 × 824,310
  4. Step 4: Simplify right side
    569,124x = 679,486,976,100
  5. Step 5: Solve for x
    x = 679,486,976,100/569,124
  6. Step 6: Final answer
    x = 1,193,917.28

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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.