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Finding the Third Proportional to 360,764 and 486,710

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Solution

The third proportional to 360,764 and 486,710 is: 656,624.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,764 : 486,710 = 486,710 : x
  2. Step 2: Convert to fraction form
    360,764/486,710 = 486,710/x
  3. Step 3: Cross multiply
    360,764x = 486,710 × 486,710
  4. Step 4: Simplify right side
    360,764x = 236,886,624,100
  5. Step 5: Solve for x
    x = 236,886,624,100/360,764
  6. Step 6: Final answer
    x = 656,624.90

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.