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Finding the Third Proportional to 371,752 and 791,456

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Solution

The third proportional to 371,752 and 791,456 is: 1,685,001.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    371,752 : 791,456 = 791,456 : x
  2. Step 2: Convert to fraction form
    371,752/791,456 = 791,456/x
  3. Step 3: Cross multiply
    371,752x = 791,456 × 791,456
  4. Step 4: Simplify right side
    371,752x = 626,402,599,936
  5. Step 5: Solve for x
    x = 626,402,599,936/371,752
  6. Step 6: Final answer
    x = 1,685,001.29

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.