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Finding the Third Proportional to 678,261.50 and 1,049,749

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Solution

The third proportional to 678,261.50 and 1,049,749 is: 1,624,702.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    678,261.50 : 1,049,749 = 1,049,749 : x
  2. Step 2: Convert to fraction form
    678,261.50/1,049,749 = 1,049,749/x
  3. Step 3: Cross multiply
    678,261.50x = 1,049,749 × 1,049,749
  4. Step 4: Simplify right side
    678,261.50x = 1,101,972,963,001
  5. Step 5: Solve for x
    x = 1,101,972,963,001/678,261.50
  6. Step 6: Final answer
    x = 1,624,702.22

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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.