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Finding the Third Proportional to 434,737.88 and 927,252.38

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Solution

The third proportional to 434,737.88 and 927,252.38 is: 1,977,736.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    434,737.88 : 927,252.38 = 927,252.38 : x
  2. Step 2: Convert to fraction form
    434,737.88/927,252.38 = 927,252.38/x
  3. Step 3: Cross multiply
    434,737.88x = 927,252.38 × 927,252.38
  4. Step 4: Simplify right side
    434,737.88x = 859,796,966,943.14
  5. Step 5: Solve for x
    x = 859,796,966,943.14/434,737.88
  6. Step 6: Final answer
    x = 1,977,736.51

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.