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Finding the Third Proportional to 569,112 and 824,292

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Solution

The third proportional to 569,112 and 824,292 is: 1,193,890.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    569,112 : 824,292 = 824,292 : x
  2. Step 2: Convert to fraction form
    569,112/824,292 = 824,292/x
  3. Step 3: Cross multiply
    569,112x = 824,292 × 824,292
  4. Step 4: Simplify right side
    569,112x = 679,457,301,264
  5. Step 5: Solve for x
    x = 679,457,301,264/569,112
  6. Step 6: Final answer
    x = 1,193,890.31

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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.