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Finding the Third Proportional to 678,152.25 and 923,526.56

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Solution

The third proportional to 678,152.25 and 923,526.56 is: 1,257,684.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    678,152.25 : 923,526.56 = 923,526.56 : x
  2. Step 2: Convert to fraction form
    678,152.25/923,526.56 = 923,526.56/x
  3. Step 3: Cross multiply
    678,152.25x = 923,526.56 × 923,526.56
  4. Step 4: Simplify right side
    678,152.25x = 852,901,311,643.07
  5. Step 5: Solve for x
    x = 852,901,311,643.07/678,152.25
  6. Step 6: Final answer
    x = 1,257,684.11

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.