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Finding the Third Proportional to 457,420.50 and 706,869

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Solution

The third proportional to 457,420.50 and 706,869 is: 1,092,351.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,420.50 : 706,869 = 706,869 : x
  2. Step 2: Convert to fraction form
    457,420.50/706,869 = 706,869/x
  3. Step 3: Cross multiply
    457,420.50x = 706,869 × 706,869
  4. Step 4: Simplify right side
    457,420.50x = 499,663,783,161
  5. Step 5: Solve for x
    x = 499,663,783,161/457,420.50
  6. Step 6: Final answer
    x = 1,092,351.09

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