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Finding the Third Proportional to 352,278 and 785,237

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Solution

The third proportional to 352,278 and 785,237 is: 1,750,314.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    352,278 : 785,237 = 785,237 : x
  2. Step 2: Convert to fraction form
    352,278/785,237 = 785,237/x
  3. Step 3: Cross multiply
    352,278x = 785,237 × 785,237
  4. Step 4: Simplify right side
    352,278x = 616,597,146,169
  5. Step 5: Solve for x
    x = 616,597,146,169/352,278
  6. Step 6: Final answer
    x = 1,750,314.09

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.