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Finding the Third Proportional to 346,320 and 541,350

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Solution

The third proportional to 346,320 and 541,350 is: 846,211.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    346,320 : 541,350 = 541,350 : x
  2. Step 2: Convert to fraction form
    346,320/541,350 = 541,350/x
  3. Step 3: Cross multiply
    346,320x = 541,350 × 541,350
  4. Step 4: Simplify right side
    346,320x = 293,059,822,500
  5. Step 5: Solve for x
    x = 293,059,822,500/346,320
  6. Step 6: Final answer
    x = 846,211.08

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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.