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Finding the Third Proportional to 504,439,329 and 710,052,183.50

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Solution

The third proportional to 504,439,329 and 710,052,183.50 is: 999,474,216.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    504,439,329 : 710,052,183.50 = 710,052,183.50 : x
  2. Step 2: Convert to fraction form
    504,439,329/710,052,183.50 = 710,052,183.50/x
  3. Step 3: Cross multiply
    504,439,329x = 710,052,183.50 × 710,052,183.50
  4. Step 4: Simplify right side
    504,439,329x = 504,174,103,293,117,696
  5. Step 5: Solve for x
    x = 504,174,103,293,117,696/504,439,329
  6. Step 6: Final answer
    x = 999,474,216.84

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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.