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Finding the Third Proportional to 569,114 and 824,295

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Solution

The third proportional to 569,114 and 824,295 is: 1,193,894.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    569,114 : 824,295 = 824,295 : x
  2. Step 2: Convert to fraction form
    569,114/824,295 = 824,295/x
  3. Step 3: Cross multiply
    569,114x = 824,295 × 824,295
  4. Step 4: Simplify right side
    569,114x = 679,462,247,025
  5. Step 5: Solve for x
    x = 679,462,247,025/569,114
  6. Step 6: Final answer
    x = 1,193,894.80

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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.