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Finding the Third Proportional to 346,263 and 541,264.50

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Solution

The third proportional to 346,263 and 541,264.50 is: 846,083.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    346,263 : 541,264.50 = 541,264.50 : x
  2. Step 2: Convert to fraction form
    346,263/541,264.50 = 541,264.50/x
  3. Step 3: Cross multiply
    346,263x = 541,264.50 × 541,264.50
  4. Step 4: Simplify right side
    346,263x = 292,967,258,960.25
  5. Step 5: Solve for x
    x = 292,967,258,960.25/346,263
  6. Step 6: Final answer
    x = 846,083.06

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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.