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Finding the Third Proportional to 447,390 and 677,596.50

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Solution

The third proportional to 447,390 and 677,596.50 is: 1,026,256.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    447,390 : 677,596.50 = 677,596.50 : x
  2. Step 2: Convert to fraction form
    447,390/677,596.50 = 677,596.50/x
  3. Step 3: Cross multiply
    447,390x = 677,596.50 × 677,596.50
  4. Step 4: Simplify right side
    447,390x = 459,137,016,812.25
  5. Step 5: Solve for x
    x = 459,137,016,812.25/447,390
  6. Step 6: Final answer
    x = 1,026,256.77

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.