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Finding the Third Proportional to 434,063.25 and 952,164

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Solution

The third proportional to 434,063.25 and 952,164 is: 2,088,673.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    434,063.25 : 952,164 = 952,164 : x
  2. Step 2: Convert to fraction form
    434,063.25/952,164 = 952,164/x
  3. Step 3: Cross multiply
    434,063.25x = 952,164 × 952,164
  4. Step 4: Simplify right side
    434,063.25x = 906,616,282,896
  5. Step 5: Solve for x
    x = 906,616,282,896/434,063.25
  6. Step 6: Final answer
    x = 2,088,673.21

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.