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Finding the Third Proportional to 230,785 and 484,896

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Solution

The third proportional to 230,785 and 484,896 is: 1,018,801.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,785 : 484,896 = 484,896 : x
  2. Step 2: Convert to fraction form
    230,785/484,896 = 484,896/x
  3. Step 3: Cross multiply
    230,785x = 484,896 × 484,896
  4. Step 4: Simplify right side
    230,785x = 235,124,130,816
  5. Step 5: Solve for x
    x = 235,124,130,816/230,785
  6. Step 6: Final answer
    x = 1,018,801.62

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.