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Finding the Third Proportional to 499,773.50 and 712,277.50

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Solution

The third proportional to 499,773.50 and 712,277.50 is: 1,015,138.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    499,773.50 : 712,277.50 = 712,277.50 : x
  2. Step 2: Convert to fraction form
    499,773.50/712,277.50 = 712,277.50/x
  3. Step 3: Cross multiply
    499,773.50x = 712,277.50 × 712,277.50
  4. Step 4: Simplify right side
    499,773.50x = 507,339,237,006.25
  5. Step 5: Solve for x
    x = 507,339,237,006.25/499,773.50
  6. Step 6: Final answer
    x = 1,015,138.33

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.