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Finding the Third Proportional to 262,101 and 616,128

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Solution

The third proportional to 262,101 and 616,128 is: 1,448,348.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,101 : 616,128 = 616,128 : x
  2. Step 2: Convert to fraction form
    262,101/616,128 = 616,128/x
  3. Step 3: Cross multiply
    262,101x = 616,128 × 616,128
  4. Step 4: Simplify right side
    262,101x = 379,613,712,384
  5. Step 5: Solve for x
    x = 379,613,712,384/262,101
  6. Step 6: Final answer
    x = 1,448,348.97

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.