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Finding the Third Proportional to 425,725.50 and 640,383

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Solution

The third proportional to 425,725.50 and 640,383 is: 963,274.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    425,725.50 : 640,383 = 640,383 : x
  2. Step 2: Convert to fraction form
    425,725.50/640,383 = 640,383/x
  3. Step 3: Cross multiply
    425,725.50x = 640,383 × 640,383
  4. Step 4: Simplify right side
    425,725.50x = 410,090,386,689
  5. Step 5: Solve for x
    x = 410,090,386,689/425,725.50
  6. Step 6: Final answer
    x = 963,274.19

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.