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Finding the Third Proportional to 388,989 and 808,960.50

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Solution

The third proportional to 388,989 and 808,960.50 is: 1,682,353.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    388,989 : 808,960.50 = 808,960.50 : x
  2. Step 2: Convert to fraction form
    388,989/808,960.50 = 808,960.50/x
  3. Step 3: Cross multiply
    388,989x = 808,960.50 × 808,960.50
  4. Step 4: Simplify right side
    388,989x = 654,417,090,560.25
  5. Step 5: Solve for x
    x = 654,417,090,560.25/388,989
  6. Step 6: Final answer
    x = 1,682,353.72

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These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.