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Finding the Third Proportional to 390,525 and 812,149.50

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Solution

The third proportional to 390,525 and 812,149.50 is: 1,688,974.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,525 : 812,149.50 = 812,149.50 : x
  2. Step 2: Convert to fraction form
    390,525/812,149.50 = 812,149.50/x
  3. Step 3: Cross multiply
    390,525x = 812,149.50 × 812,149.50
  4. Step 4: Simplify right side
    390,525x = 659,586,810,350.25
  5. Step 5: Solve for x
    x = 659,586,810,350.25/390,525
  6. Step 6: Final answer
    x = 1,688,974.61

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These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.