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Finding the Third Proportional to 302,359.50 and 457,450.50

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Solution

The third proportional to 302,359.50 and 457,450.50 is: 692,093.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,359.50 : 457,450.50 = 457,450.50 : x
  2. Step 2: Convert to fraction form
    302,359.50/457,450.50 = 457,450.50/x
  3. Step 3: Cross multiply
    302,359.50x = 457,450.50 × 457,450.50
  4. Step 4: Simplify right side
    302,359.50x = 209,260,959,950.25
  5. Step 5: Solve for x
    x = 209,260,959,950.25/302,359.50
  6. Step 6: Final answer
    x = 692,093.22

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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.