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Finding the Third Proportional to 388,481 and 524,845.50

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Solution

The third proportional to 388,481 and 524,845.50 is: 709,076.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    388,481 : 524,845.50 = 524,845.50 : x
  2. Step 2: Convert to fraction form
    388,481/524,845.50 = 524,845.50/x
  3. Step 3: Cross multiply
    388,481x = 524,845.50 × 524,845.50
  4. Step 4: Simplify right side
    388,481x = 275,462,798,870.25
  5. Step 5: Solve for x
    x = 275,462,798,870.25/388,481
  6. Step 6: Final answer
    x = 709,076.63

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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.