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Finding the Third Proportional to 388,476 and 524,839.50

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Solution

The third proportional to 388,476 and 524,839.50 is: 709,069.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    388,476 : 524,839.50 = 524,839.50 : x
  2. Step 2: Convert to fraction form
    388,476/524,839.50 = 524,839.50/x
  3. Step 3: Cross multiply
    388,476x = 524,839.50 × 524,839.50
  4. Step 4: Simplify right side
    388,476x = 275,456,500,760.25
  5. Step 5: Solve for x
    x = 275,456,500,760.25/388,476
  6. Step 6: Final answer
    x = 709,069.55

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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.