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Finding the Third Proportional to 351,848 and 772,202

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Solution

The third proportional to 351,848 and 772,202 is: 1,694,754.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    351,848 : 772,202 = 772,202 : x
  2. Step 2: Convert to fraction form
    351,848/772,202 = 772,202/x
  3. Step 3: Cross multiply
    351,848x = 772,202 × 772,202
  4. Step 4: Simplify right side
    351,848x = 596,295,928,804
  5. Step 5: Solve for x
    x = 596,295,928,804/351,848
  6. Step 6: Final answer
    x = 1,694,754.35

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.