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Finding the Third Proportional to 416,124 and 645,570

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Solution

The third proportional to 416,124 and 645,570 is: 1,001,529.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,124 : 645,570 = 645,570 : x
  2. Step 2: Convert to fraction form
    416,124/645,570 = 645,570/x
  3. Step 3: Cross multiply
    416,124x = 645,570 × 645,570
  4. Step 4: Simplify right side
    416,124x = 416,760,624,900
  5. Step 5: Solve for x
    x = 416,760,624,900/416,124
  6. Step 6: Final answer
    x = 1,001,529.89

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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.