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Finding the Third Proportional to 423,508.50 and 911,898

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Solution

The third proportional to 423,508.50 and 911,898 is: 1,963,497.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    423,508.50 : 911,898 = 911,898 : x
  2. Step 2: Convert to fraction form
    423,508.50/911,898 = 911,898/x
  3. Step 3: Cross multiply
    423,508.50x = 911,898 × 911,898
  4. Step 4: Simplify right side
    423,508.50x = 831,557,962,404
  5. Step 5: Solve for x
    x = 831,557,962,404/423,508.50
  6. Step 6: Final answer
    x = 1,963,497.69

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.