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Finding the Third Proportional to 388,436.50 and 524,811.50

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Solution

The third proportional to 388,436.50 and 524,811.50 is: 709,065.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    388,436.50 : 524,811.50 = 524,811.50 : x
  2. Step 2: Convert to fraction form
    388,436.50/524,811.50 = 524,811.50/x
  3. Step 3: Cross multiply
    388,436.50x = 524,811.50 × 524,811.50
  4. Step 4: Simplify right side
    388,436.50x = 275,427,110,532.25
  5. Step 5: Solve for x
    x = 275,427,110,532.25/388,436.50
  6. Step 6: Final answer
    x = 709,065.99

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.