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Finding the Third Proportional to 526,434.75 and 581,793.75

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Solution

The third proportional to 526,434.75 and 581,793.75 is: 642,974.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    526,434.75 : 581,793.75 = 581,793.75 : x
  2. Step 2: Convert to fraction form
    526,434.75/581,793.75 = 581,793.75/x
  3. Step 3: Cross multiply
    526,434.75x = 581,793.75 × 581,793.75
  4. Step 4: Simplify right side
    526,434.75x = 338,483,967,539.06
  5. Step 5: Solve for x
    x = 338,483,967,539.06/526,434.75
  6. Step 6: Final answer
    x = 642,974.21

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Why These Related Problems?

These problems maintain the same ratio (1.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.