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Finding the Third Proportional to 262,175 and 574,373

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Solution

The third proportional to 262,175 and 574,373 is: 1,258,336.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,175 : 574,373 = 574,373 : x
  2. Step 2: Convert to fraction form
    262,175/574,373 = 574,373/x
  3. Step 3: Cross multiply
    262,175x = 574,373 × 574,373
  4. Step 4: Simplify right side
    262,175x = 329,904,343,129
  5. Step 5: Solve for x
    x = 329,904,343,129/262,175
  6. Step 6: Final answer
    x = 1,258,336.39

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.