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Finding the Third Proportional to 320,752 and 448,431

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Solution

The third proportional to 320,752 and 448,431 is: 626,934.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,752 : 448,431 = 448,431 : x
  2. Step 2: Convert to fraction form
    320,752/448,431 = 448,431/x
  3. Step 3: Cross multiply
    320,752x = 448,431 × 448,431
  4. Step 4: Simplify right side
    320,752x = 201,090,361,761
  5. Step 5: Solve for x
    x = 201,090,361,761/320,752
  6. Step 6: Final answer
    x = 626,934.09

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.