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Finding the Third Proportional to 462,807 and 739,042.50

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Solution

The third proportional to 462,807 and 739,042.50 is: 1,180,154.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,807 : 739,042.50 = 739,042.50 : x
  2. Step 2: Convert to fraction form
    462,807/739,042.50 = 739,042.50/x
  3. Step 3: Cross multiply
    462,807x = 739,042.50 × 739,042.50
  4. Step 4: Simplify right side
    462,807x = 546,183,816,806.25
  5. Step 5: Solve for x
    x = 546,183,816,806.25/462,807
  6. Step 6: Final answer
    x = 1,180,154.61

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These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.