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Finding the Third Proportional to 305,906.63 and 460,711.13

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Solution

The third proportional to 305,906.63 and 460,711.13 is: 693,854.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,906.63 : 460,711.13 = 460,711.13 : x
  2. Step 2: Convert to fraction form
    305,906.63/460,711.13 = 460,711.13/x
  3. Step 3: Cross multiply
    305,906.63x = 460,711.13 × 460,711.13
  4. Step 4: Simplify right side
    305,906.63x = 212,254,740,698.77
  5. Step 5: Solve for x
    x = 212,254,740,698.77/305,906.63
  6. Step 6: Final answer
    x = 693,854.67

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.