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Finding the Third Proportional to 464,085 and 738,456

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Solution

The third proportional to 464,085 and 738,456 is: 1,175,037.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,085 : 738,456 = 738,456 : x
  2. Step 2: Convert to fraction form
    464,085/738,456 = 738,456/x
  3. Step 3: Cross multiply
    464,085x = 738,456 × 738,456
  4. Step 4: Simplify right side
    464,085x = 545,317,263,936
  5. Step 5: Solve for x
    x = 545,317,263,936/464,085
  6. Step 6: Final answer
    x = 1,175,037.47

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.