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Finding the Third Proportional to 420,170 and 651,680

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Solution

The third proportional to 420,170 and 651,680 is: 1,010,749.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,170 : 651,680 = 651,680 : x
  2. Step 2: Convert to fraction form
    420,170/651,680 = 651,680/x
  3. Step 3: Cross multiply
    420,170x = 651,680 × 651,680
  4. Step 4: Simplify right side
    420,170x = 424,686,822,400
  5. Step 5: Solve for x
    x = 424,686,822,400/420,170
  6. Step 6: Final answer
    x = 1,010,749.99

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.