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Finding the Third Proportional to 492,094 and 738,139

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Solution

The third proportional to 492,094 and 738,139 is: 1,107,205.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,094 : 738,139 = 738,139 : x
  2. Step 2: Convert to fraction form
    492,094/738,139 = 738,139/x
  3. Step 3: Cross multiply
    492,094x = 738,139 × 738,139
  4. Step 4: Simplify right side
    492,094x = 544,849,183,321
  5. Step 5: Solve for x
    x = 544,849,183,321/492,094
  6. Step 6: Final answer
    x = 1,107,205.50

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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.