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Finding the Third Proportional to 356,563 and 783,101

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Solution

The third proportional to 356,563 and 783,101 is: 1,719,884.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,563 : 783,101 = 783,101 : x
  2. Step 2: Convert to fraction form
    356,563/783,101 = 783,101/x
  3. Step 3: Cross multiply
    356,563x = 783,101 × 783,101
  4. Step 4: Simplify right side
    356,563x = 613,247,176,201
  5. Step 5: Solve for x
    x = 613,247,176,201/356,563
  6. Step 6: Final answer
    x = 1,719,884.50

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.