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Finding the Third Proportional to 362,562 and 785,388

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Solution

The third proportional to 362,562 and 785,388 is: 1,701,320.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,562 : 785,388 = 785,388 : x
  2. Step 2: Convert to fraction form
    362,562/785,388 = 785,388/x
  3. Step 3: Cross multiply
    362,562x = 785,388 × 785,388
  4. Step 4: Simplify right side
    362,562x = 616,834,310,544
  5. Step 5: Solve for x
    x = 616,834,310,544/362,562
  6. Step 6: Final answer
    x = 1,701,320.91

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.