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Finding the Third Proportional to 645,834.50 and 996,004

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Solution

The third proportional to 645,834.50 and 996,004 is: 1,536,034.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    645,834.50 : 996,004 = 996,004 : x
  2. Step 2: Convert to fraction form
    645,834.50/996,004 = 996,004/x
  3. Step 3: Cross multiply
    645,834.50x = 996,004 × 996,004
  4. Step 4: Simplify right side
    645,834.50x = 992,023,968,016
  5. Step 5: Solve for x
    x = 992,023,968,016/645,834.50
  6. Step 6: Final answer
    x = 1,536,034.34

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.