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Finding the Third Proportional to 581,967 and 873,750

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Solution

The third proportional to 581,967 and 873,750 is: 1,311,825.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    581,967 : 873,750 = 873,750 : x
  2. Step 2: Convert to fraction form
    581,967/873,750 = 873,750/x
  3. Step 3: Cross multiply
    581,967x = 873,750 × 873,750
  4. Step 4: Simplify right side
    581,967x = 763,439,062,500
  5. Step 5: Solve for x
    x = 763,439,062,500/581,967
  6. Step 6: Final answer
    x = 1,311,825.35

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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.