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Finding the Third Proportional to 467,747 and 705,851

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Solution

The third proportional to 467,747 and 705,851 is: 1,065,160.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    467,747 : 705,851 = 705,851 : x
  2. Step 2: Convert to fraction form
    467,747/705,851 = 705,851/x
  3. Step 3: Cross multiply
    467,747x = 705,851 × 705,851
  4. Step 4: Simplify right side
    467,747x = 498,225,634,201
  5. Step 5: Solve for x
    x = 498,225,634,201/467,747
  6. Step 6: Final answer
    x = 1,065,160.51

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.