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Finding the Third Proportional to 499,063.50 and 706,146.75

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Solution

The third proportional to 499,063.50 and 706,146.75 is: 999,157.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    499,063.50 : 706,146.75 = 706,146.75 : x
  2. Step 2: Convert to fraction form
    499,063.50/706,146.75 = 706,146.75/x
  3. Step 3: Cross multiply
    499,063.50x = 706,146.75 × 706,146.75
  4. Step 4: Simplify right side
    499,063.50x = 498,643,232,535.56
  5. Step 5: Solve for x
    x = 498,643,232,535.56/499,063.50
  6. Step 6: Final answer
    x = 999,157.89

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.