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Finding the Third Proportional to 678,155.25 and 923,530.50

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Solution

The third proportional to 678,155.25 and 923,530.50 is: 1,257,689.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    678,155.25 : 923,530.50 = 923,530.50 : x
  2. Step 2: Convert to fraction form
    678,155.25/923,530.50 = 923,530.50/x
  3. Step 3: Cross multiply
    678,155.25x = 923,530.50 × 923,530.50
  4. Step 4: Simplify right side
    678,155.25x = 852,908,584,430.25
  5. Step 5: Solve for x
    x = 852,908,584,430.25/678,155.25
  6. Step 6: Final answer
    x = 1,257,689.27

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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.