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Finding the Third Proportional to 294,629,260.50 and 409,658,442.75

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Solution

The third proportional to 294,629,260.50 and 409,658,442.75 is: 569,597,328.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,629,260.50 : 409,658,442.75 = 409,658,442.75 : x
  2. Step 2: Convert to fraction form
    294,629,260.50/409,658,442.75 = 409,658,442.75/x
  3. Step 3: Cross multiply
    294,629,260.50x = 409,658,442.75 × 409,658,442.75
  4. Step 4: Simplify right side
    294,629,260.50x = 167,820,039,716,355,040
  5. Step 5: Solve for x
    x = 167,820,039,716,355,040/294,629,260.50
  6. Step 6: Final answer
    x = 569,597,328.63

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.