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Finding the Third Proportional to 601,762 and 846,680

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Solution

The third proportional to 601,762 and 846,680 is: 1,191,279.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    601,762 : 846,680 = 846,680 : x
  2. Step 2: Convert to fraction form
    601,762/846,680 = 846,680/x
  3. Step 3: Cross multiply
    601,762x = 846,680 × 846,680
  4. Step 4: Simplify right side
    601,762x = 716,867,022,400
  5. Step 5: Solve for x
    x = 716,867,022,400/601,762
  6. Step 6: Final answer
    x = 1,191,279.98

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.