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Finding the Third Proportional to 351,088 and 769,080

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Solution

The third proportional to 351,088 and 769,080 is: 1,684,717.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    351,088 : 769,080 = 769,080 : x
  2. Step 2: Convert to fraction form
    351,088/769,080 = 769,080/x
  3. Step 3: Cross multiply
    351,088x = 769,080 × 769,080
  4. Step 4: Simplify right side
    351,088x = 591,484,046,400
  5. Step 5: Solve for x
    x = 591,484,046,400/351,088
  6. Step 6: Final answer
    x = 1,684,717.35

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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.