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Finding the Third Proportional to 486,176 and 735,970

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Solution

The third proportional to 486,176 and 735,970 is: 1,114,106.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    486,176 : 735,970 = 735,970 : x
  2. Step 2: Convert to fraction form
    486,176/735,970 = 735,970/x
  3. Step 3: Cross multiply
    486,176x = 735,970 × 735,970
  4. Step 4: Simplify right side
    486,176x = 541,651,840,900
  5. Step 5: Solve for x
    x = 541,651,840,900/486,176
  6. Step 6: Final answer
    x = 1,114,106.50

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.