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Finding the Third Proportional to 310,734 and 652,824

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Solution

The third proportional to 310,734 and 652,824 is: 1,371,524.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,734 : 652,824 = 652,824 : x
  2. Step 2: Convert to fraction form
    310,734/652,824 = 652,824/x
  3. Step 3: Cross multiply
    310,734x = 652,824 × 652,824
  4. Step 4: Simplify right side
    310,734x = 426,179,174,976
  5. Step 5: Solve for x
    x = 426,179,174,976/310,734
  6. Step 6: Final answer
    x = 1,371,524.12

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.