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Finding the Third Proportional to 368,901 and 553,693.50

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Solution

The third proportional to 368,901 and 553,693.50 is: 831,053.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    368,901 : 553,693.50 = 553,693.50 : x
  2. Step 2: Convert to fraction form
    368,901/553,693.50 = 553,693.50/x
  3. Step 3: Cross multiply
    368,901x = 553,693.50 × 553,693.50
  4. Step 4: Simplify right side
    368,901x = 306,576,491,942.25
  5. Step 5: Solve for x
    x = 306,576,491,942.25/368,901
  6. Step 6: Final answer
    x = 831,053.57

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Why These Related Problems?

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