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Finding the Third Proportional to 539,217 and 825,187.50

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Solution

The third proportional to 539,217 and 825,187.50 is: 1,262,820.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    539,217 : 825,187.50 = 825,187.50 : x
  2. Step 2: Convert to fraction form
    539,217/825,187.50 = 825,187.50/x
  3. Step 3: Cross multiply
    539,217x = 825,187.50 × 825,187.50
  4. Step 4: Simplify right side
    539,217x = 680,934,410,156.25
  5. Step 5: Solve for x
    x = 680,934,410,156.25/539,217
  6. Step 6: Final answer
    x = 1,262,820.74

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.