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Finding the Third Proportional to 829,721.25 and 1,277,158.50

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Solution

The third proportional to 829,721.25 and 1,277,158.50 is: 1,965,881.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    829,721.25 : 1,277,158.50 = 1,277,158.50 : x
  2. Step 2: Convert to fraction form
    829,721.25/1,277,158.50 = 1,277,158.50/x
  3. Step 3: Cross multiply
    829,721.25x = 1,277,158.50 × 1,277,158.50
  4. Step 4: Simplify right side
    829,721.25x = 1,631,133,834,122.25
  5. Step 5: Solve for x
    x = 1,631,133,834,122.25/829,721.25
  6. Step 6: Final answer
    x = 1,965,881.72

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.