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Finding the Third Proportional to 581,960 and 875,104

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Solution

The third proportional to 581,960 and 875,104 is: 1,315,910.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    581,960 : 875,104 = 875,104 : x
  2. Step 2: Convert to fraction form
    581,960/875,104 = 875,104/x
  3. Step 3: Cross multiply
    581,960x = 875,104 × 875,104
  4. Step 4: Simplify right side
    581,960x = 765,807,010,816
  5. Step 5: Solve for x
    x = 765,807,010,816/581,960
  6. Step 6: Final answer
    x = 1,315,910.05

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.