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Finding the Third Proportional to 333,676 and 719,840

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Solution

The third proportional to 333,676 and 719,840 is: 1,552,912.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,676 : 719,840 = 719,840 : x
  2. Step 2: Convert to fraction form
    333,676/719,840 = 719,840/x
  3. Step 3: Cross multiply
    333,676x = 719,840 × 719,840
  4. Step 4: Simplify right side
    333,676x = 518,169,625,600
  5. Step 5: Solve for x
    x = 518,169,625,600/333,676
  6. Step 6: Final answer
    x = 1,552,912.48

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.