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Finding the Third Proportional to 283,219.50 and 460,095

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Solution

The third proportional to 283,219.50 and 460,095 is: 747,432.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,219.50 : 460,095 = 460,095 : x
  2. Step 2: Convert to fraction form
    283,219.50/460,095 = 460,095/x
  3. Step 3: Cross multiply
    283,219.50x = 460,095 × 460,095
  4. Step 4: Simplify right side
    283,219.50x = 211,687,409,025
  5. Step 5: Solve for x
    x = 211,687,409,025/283,219.50
  6. Step 6: Final answer
    x = 747,432.32

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Why These Related Problems?

These problems maintain the same ratio (1.62) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.