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Finding the Third Proportional to 452,004 and 683,836

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Solution

The third proportional to 452,004 and 683,836 is: 1,034,574.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    452,004 : 683,836 = 683,836 : x
  2. Step 2: Convert to fraction form
    452,004/683,836 = 683,836/x
  3. Step 3: Cross multiply
    452,004x = 683,836 × 683,836
  4. Step 4: Simplify right side
    452,004x = 467,631,674,896
  5. Step 5: Solve for x
    x = 467,631,674,896/452,004
  6. Step 6: Final answer
    x = 1,034,574.20

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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.