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Finding the Third Proportional to 346,252 and 541,248

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Solution

The third proportional to 346,252 and 541,248 is: 846,058.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    346,252 : 541,248 = 541,248 : x
  2. Step 2: Convert to fraction form
    346,252/541,248 = 541,248/x
  3. Step 3: Cross multiply
    346,252x = 541,248 × 541,248
  4. Step 4: Simplify right side
    346,252x = 292,949,397,504
  5. Step 5: Solve for x
    x = 292,949,397,504/346,252
  6. Step 6: Final answer
    x = 846,058.35

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.