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Finding the Third Proportional to 424,897.50 and 640,634.25

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Solution

The third proportional to 424,897.50 and 640,634.25 is: 965,908.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    424,897.50 : 640,634.25 = 640,634.25 : x
  2. Step 2: Convert to fraction form
    424,897.50/640,634.25 = 640,634.25/x
  3. Step 3: Cross multiply
    424,897.50x = 640,634.25 × 640,634.25
  4. Step 4: Simplify right side
    424,897.50x = 410,412,242,273.06
  5. Step 5: Solve for x
    x = 410,412,242,273.06/424,897.50
  6. Step 6: Final answer
    x = 965,908.82

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.