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Finding the Third Proportional to 303,024.52 and 469,192.92

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Solution

The third proportional to 303,024.52 and 469,192.92 is: 726,482.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,024.52 : 469,192.92 = 469,192.92 : x
  2. Step 2: Convert to fraction form
    303,024.52/469,192.92 = 469,192.92/x
  3. Step 3: Cross multiply
    303,024.52x = 469,192.92 × 469,192.92
  4. Step 4: Simplify right side
    303,024.52x = 220,141,997,937.60
  5. Step 5: Solve for x
    x = 220,141,997,937.60/303,024.52
  6. Step 6: Final answer
    x = 726,482.47

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.