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Finding the Third Proportional to 492,149 and 771,017.50

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Solution

The third proportional to 492,149 and 771,017.50 is: 1,207,902.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,149 : 771,017.50 = 771,017.50 : x
  2. Step 2: Convert to fraction form
    492,149/771,017.50 = 771,017.50/x
  3. Step 3: Cross multiply
    492,149x = 771,017.50 × 771,017.50
  4. Step 4: Simplify right side
    492,149x = 594,467,985,306.25
  5. Step 5: Solve for x
    x = 594,467,985,306.25/492,149
  6. Step 6: Final answer
    x = 1,207,902.45

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.