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Finding the Third Proportional to 351,538 and 752,896

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Solution

The third proportional to 351,538 and 752,896 is: 1,612,492.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    351,538 : 752,896 = 752,896 : x
  2. Step 2: Convert to fraction form
    351,538/752,896 = 752,896/x
  3. Step 3: Cross multiply
    351,538x = 752,896 × 752,896
  4. Step 4: Simplify right side
    351,538x = 566,852,386,816
  5. Step 5: Solve for x
    x = 566,852,386,816/351,538
  6. Step 6: Final answer
    x = 1,612,492.50

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.