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Finding the Third Proportional to 305,859.50 and 460,557.50

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Solution

The third proportional to 305,859.50 and 460,557.50 is: 693,498.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,859.50 : 460,557.50 = 460,557.50 : x
  2. Step 2: Convert to fraction form
    305,859.50/460,557.50 = 460,557.50/x
  3. Step 3: Cross multiply
    305,859.50x = 460,557.50 × 460,557.50
  4. Step 4: Simplify right side
    305,859.50x = 212,113,210,806.25
  5. Step 5: Solve for x
    x = 212,113,210,806.25/305,859.50
  6. Step 6: Final answer
    x = 693,498.85

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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.