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Finding the Third Proportional to 416,019 and 639,580.50

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Solution

The third proportional to 416,019 and 639,580.50 is: 983,280.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,019 : 639,580.50 = 639,580.50 : x
  2. Step 2: Convert to fraction form
    416,019/639,580.50 = 639,580.50/x
  3. Step 3: Cross multiply
    416,019x = 639,580.50 × 639,580.50
  4. Step 4: Simplify right side
    416,019x = 409,063,215,980.25
  5. Step 5: Solve for x
    x = 409,063,215,980.25/416,019
  6. Step 6: Final answer
    x = 983,280.13

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.