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Finding the Third Proportional to 334,983 and 730,094

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Solution

The third proportional to 334,983 and 730,094 is: 1,591,236.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,983 : 730,094 = 730,094 : x
  2. Step 2: Convert to fraction form
    334,983/730,094 = 730,094/x
  3. Step 3: Cross multiply
    334,983x = 730,094 × 730,094
  4. Step 4: Simplify right side
    334,983x = 533,037,248,836
  5. Step 5: Solve for x
    x = 533,037,248,836/334,983
  6. Step 6: Final answer
    x = 1,591,236.72

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.