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Finding the Third Proportional to 199,464 and 426,946.50

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Solution

The third proportional to 199,464 and 426,946.50 is: 913,865.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,464 : 426,946.50 = 426,946.50 : x
  2. Step 2: Convert to fraction form
    199,464/426,946.50 = 426,946.50/x
  3. Step 3: Cross multiply
    199,464x = 426,946.50 × 426,946.50
  4. Step 4: Simplify right side
    199,464x = 182,283,313,862.25
  5. Step 5: Solve for x
    x = 182,283,313,862.25/199,464
  6. Step 6: Final answer
    x = 913,865.73

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.