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Finding the Third Proportional to 468,087 and 685,468

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Solution

The third proportional to 468,087 and 685,468 is: 1,003,801.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,087 : 685,468 = 685,468 : x
  2. Step 2: Convert to fraction form
    468,087/685,468 = 685,468/x
  3. Step 3: Cross multiply
    468,087x = 685,468 × 685,468
  4. Step 4: Simplify right side
    468,087x = 469,866,379,024
  5. Step 5: Solve for x
    x = 469,866,379,024/468,087
  6. Step 6: Final answer
    x = 1,003,801.39

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.