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Finding the Third Proportional to 391,281.75 and 824,595.75

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Solution

The third proportional to 391,281.75 and 824,595.75 is: 1,737,771.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    391,281.75 : 824,595.75 = 824,595.75 : x
  2. Step 2: Convert to fraction form
    391,281.75/824,595.75 = 824,595.75/x
  3. Step 3: Cross multiply
    391,281.75x = 824,595.75 × 824,595.75
  4. Step 4: Simplify right side
    391,281.75x = 679,958,150,918.06
  5. Step 5: Solve for x
    x = 679,958,150,918.06/391,281.75
  6. Step 6: Final answer
    x = 1,737,771.19

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.