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Finding the Third Proportional to 403,732 and 876,150

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Solution

The third proportional to 403,732 and 876,150 is: 1,901,357.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,732 : 876,150 = 876,150 : x
  2. Step 2: Convert to fraction form
    403,732/876,150 = 876,150/x
  3. Step 3: Cross multiply
    403,732x = 876,150 × 876,150
  4. Step 4: Simplify right side
    403,732x = 767,638,822,500
  5. Step 5: Solve for x
    x = 767,638,822,500/403,732
  6. Step 6: Final answer
    x = 1,901,357.39

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.