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Finding the Third Proportional to 445,472 and 690,840

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Solution

The third proportional to 445,472 and 690,840 is: 1,071,357.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    445,472 : 690,840 = 690,840 : x
  2. Step 2: Convert to fraction form
    445,472/690,840 = 690,840/x
  3. Step 3: Cross multiply
    445,472x = 690,840 × 690,840
  4. Step 4: Simplify right side
    445,472x = 477,259,905,600
  5. Step 5: Solve for x
    x = 477,259,905,600/445,472
  6. Step 6: Final answer
    x = 1,071,357.81

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.