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Finding the Third Proportional to 388,308 and 581,886

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Solution

The third proportional to 388,308 and 581,886 is: 871,965.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    388,308 : 581,886 = 581,886 : x
  2. Step 2: Convert to fraction form
    388,308/581,886 = 581,886/x
  3. Step 3: Cross multiply
    388,308x = 581,886 × 581,886
  4. Step 4: Simplify right side
    388,308x = 338,591,316,996
  5. Step 5: Solve for x
    x = 338,591,316,996/388,308
  6. Step 6: Final answer
    x = 871,965.85

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.